Katie received a $\$ 75$ gift card for her birthday. She decides to buy new music and movies for her electronic notebook with the gift card. Songs cost $\$ 1.29$ each and movies cost $\$ 14.99$ each.

If Katie buys $20$ songs, what is the greatest number of movies she can buy?

Solution

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If Katie buys 20 songs, then she will spend $\$1.29(20)=\$25.80$ on songs. Her gift card has $75 so she can spend $\$75-\$25.80=\$49.20$ on movies. Each movie is $14.99. Since$$\dfrac{49.20}{14.99} $\approx3.28$ , she can buy at most 3 movies.

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Alexis is a flower vendor who grows and sells her own fresh-cut flowers. She has a stand in the city, and she distributes flowers to pedestrians during the day. She charges $\$ 5$ for each flower, and each month she randomly gives away two flowers for free.

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The table shown lists the average global temperature for each decade from 1880 to 2009 .

Decade Number	Decade	Average Temperature ( degree Fahrenheit)
$0$	$1880-1889$	$56.876$
$1$	$1890-1899$	$56.642$
$2$	$1900-1909$	$56.732$
$3$	$1910-1919$	$56.822$
$4$	$1920-1929$	$57.038$
$5$	$1930-1939$	$57.236$
$6$	$1940-1949$	$57.290$
$7$	$1950-1959$	$57.164$
$8$	$1960-1969$	$57.092$
$9$	$1970-1979$	$57.236$
$10$	$1980-1989$	$57.668$
$11$	$1990-1999$	$57.920$
$12$	$2000-2009$	$58.316$

Follow the steps provided to graph the relationship between time and temperature on a graphing calculator.

Step 1: Press STAT and then press ENTER to select L:Edit. In the LJ column, enter the independent quantity values by typing each value followed by ENTER.

Step 2: Use the right arrow key to move to the L2 column. Enter the dependent quantity values.

Step 3 : Press END and STAT PLOT. Press 4 to turn off any plots. Press ENTER. Then press 2ND and STAT PLOT again. Press ENTER to access the information about Plot 1 . The cursor should be on the word On. Press ENTER to turn on Plot 1 .

Step 4: Use the arrow keys to move down to Exist. Press 2ND LJ to set your Ll values as your x-values. Scroll to Ylist and Press END LE to set your Le values as your y-values.

Step 5: Press WINDOW to set the bounds of your graph. Press GRAPH to create a graph of the data.

Step 6: Use the TRACE feature and the left and right arrow keys to move between the points on the plot.

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Future value is the value of a sum of money at a specific date due to interest. The formula A=P(1+rt) is used to determine future value. The variable A is the future value, P is the principal, r is the interest rate, and t is the time. A bank wants to know the interest rate of a customer's account who earned a certain amount of future value. a) Convert the equation to solve for rate. b) Jillian deposited $5000 in an account 10 years ago after her college graduation. The money she deposited now has a value of$15,000. Determine the interest rate of Jillian's account.

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The table shown lists the average global temperature for each decade from 1880 to 2009 .

Decade Number	Decade	Average Temperature ( degree Fahrenheit)
$0$	$1880-1889$	$56.876$
$1$	$1890-1899$	$56.642$
$2$	$1900-1909$	$56.732$
$3$	$1910-1919$	$56.822$
$4$	$1920-1929$	$57.038$
$5$	$1930-1939$	$57.236$
$6$	$1940-1949$	$57.290$
$7$	$1950-1959$	$57.164$
$8$	$1960-1969$	$57.092$
$9$	$1970-1979$	$57.236$
$10$	$1980-1989$	$57.668$
$11$	$1990-1999$	$57.920$
$12$	$2000-2009$	$58.316$

Use your linear regression equation to answer the question.

Compare the $y$ -intercept from the table with the $y$ -intercept from the linear regression equation. What do you notice? Does this make sense in terms of the problem situation Why or why not?

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The table shown lists the average global temperature for each decade from 1880 to 2009 .

Decade Number	Decade	Average Temperature ( degree Fahrenheit)
$0$	$1880-1889$	$56.876$
$1$	$1890-1899$	$56.642$
$2$	$1900-1909$	$56.732$
$3$	$1910-1919$	$56.822$
$4$	$1920-1929$	$57.038$
$5$	$1930-1939$	$57.236$
$6$	$1940-1949$	$57.290$
$7$	$1950-1959$	$57.164$
$8$	$1960-1969$	$57.092$
$9$	$1970-1979$	$57.236$
$10$	$1980-1989$	$57.668$
$11$	$1990-1999$	$57.920$
$12$	$2000-2009$	$58.316$

Use your linear regression equation to answer each question.

About how much was the average global temperature changing each decade from 1880 to 2009 according to the data? Explain how you know.

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Decade Number	Decade	Average Temperature ( degree Fahrenheit)
$0$	$1880-1889$	$56.876$
$1$	$1890-1899$	$56.642$
$2$	$1900-1909$	$56.732$
$3$	$1910-1919$	$56.822$
$4$	$1920-1929$	$57.038$
$5$	$1930-1939$	$57.236$
$6$	$1940-1949$	$57.290$
$7$	$1950-1959$	$57.164$
$8$	$1960-1969$	$57.092$
$9$	$1970-1979$	$57.236$
$10$	$1980-1989$	$57.668$
$11$	$1990-1999$	$57.920$
$12$	$2000-2009$	$58.316$

Rewrite the linear regression equation as a function. This time, round the slope and $y$ -intercept to the appropriate place. Explain your reasoning.

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The table shown lists the average global temperature for each decade from 1880 to 2009 .

Decade Number	Decade	Average Temperature ( degree Fahrenheit)
$0$	$1880-1889$	$56.876$
$1$	$1890-1899$	$56.642$
$2$	$1900-1909$	$56.732$
$3$	$1910-1919$	$56.822$
$4$	$1920-1929$	$57.038$
$5$	$1930-1939$	$57.236$
$6$	$1940-1949$	$57.290$
$7$	$1950-1959$	$57.164$
$8$	$1960-1969$	$57.092$
$9$	$1970-1979$	$57.236$
$10$	$1980-1989$	$57.668$
$11$	$1990-1999$	$57.920$
$12$	$2000-2009$	$58.316$

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Alexis is a flower vendor who grows and sells her own fresh-cut flowers. She has a stand in the city, and she distributes flowers to pedestrians during the day. She charges $\$ 5$ for each flower, and each month she randomly gives away two flowers for free.

Describe the function. Is it increasing or decreasing? Is it discrete or continuous? Explain your reasoning.

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The table shown lists the average global temperature for each decade from 1880 to 2009 .

Decade Number	Decade	Average Temperature ( degree Fahrenheit)
$0$	$1880-1889$	$56.876$
$1$	$1890-1899$	$56.642$
$2$	$1900-1909$	$56.732$
$3$	$1910-1919$	$56.822$
$4$	$1920-1929$	$57.038$
$5$	$1930-1939$	$57.236$
$6$	$1940-1949$	$57.290$
$7$	$1950-1959$	$57.164$
$8$	$1960-1969$	$57.092$
$9$	$1970-1979$	$57.236$
$10$	$1980-1989$	$57.668$
$11$	$1990-1999$	$57.920$
$12$	$2000-2009$	$58.316$

Follow the steps provided to graph the relationship between time and temperature on a graphing calculator.

Step 1: Press STAT and then press ENTER to select L:Edit. In the LJ column, enter the independent quantity values by typing each value followed by ENTER.

Step 2: Use the right arrow key to move to the L2 column. Enter the dependent quantity values.

Step 4: Use the arrow keys to move down to Exist. Press 2ND LJ to set your Ll values as your x-values. Scroll to Ylist and Press END LE to set your Le values as your y-values.

Step 5: Press WINDOW to set the bounds of your graph. Press GRAPH to create a graph of the data.

Step 6: Use the TRACE feature and the left and right arrow keys to move between the points on the plot.

algebra
Future value is the value of a sum of money at a specific date due to interest. The formula A=P(1+rt) is used to determine future value. The variable A is the future value, P is the principal, r is the interest rate, and t is the time. A bank wants to know the interest rate of a customer's account who earned a certain amount of future value. a) Convert the equation to solve for rate. b) Jillian deposited $5000 in an account 10 years ago after her college graduation. The money she deposited now has a value of$15,000. Determine the interest rate of Jillian's account.

algebra

The table shown lists the average global temperature for each decade from 1880 to 2009 .

Decade Number	Decade	Average Temperature ( degree Fahrenheit)
$0$	$1880-1889$	$56.876$
$1$	$1890-1899$	$56.642$
$2$	$1900-1909$	$56.732$
$3$	$1910-1919$	$56.822$
$4$	$1920-1929$	$57.038$
$5$	$1930-1939$	$57.236$
$6$	$1940-1949$	$57.290$
$7$	$1950-1959$	$57.164$
$8$	$1960-1969$	$57.092$
$9$	$1970-1979$	$57.236$
$10$	$1980-1989$	$57.668$
$11$	$1990-1999$	$57.920$
$12$	$2000-2009$	$58.316$

Use your linear regression equation to answer the question.

Compare the $y$ -intercept from the table with the $y$ -intercept from the linear regression equation. What do you notice? Does this make sense in terms of the problem situation Why or why not?

algebra
Alexis is a flower vendor who grows and sells her own fresh-cut flowers. She has a stand in the city, and she distributes flowers to pedestrians during the day. She charges $5 for each flower, and each month she randomly gives away two flowers for free. Write a linear function, a(x), to represent how much money Alexis earns each month. Use x to represent the number of flowers she sells each month. Write the function in simplest form: a) a(x)= b) What property did you use to write the simplified form of the function?

algebra

The table shown lists the average global temperature for each decade from 1880 to 2009 .

Decade Number	Decade	Average Temperature ( degree Fahrenheit)
$0$	$1880-1889$	$56.876$
$1$	$1890-1899$	$56.642$
$2$	$1900-1909$	$56.732$
$3$	$1910-1919$	$56.822$
$4$	$1920-1929$	$57.038$
$5$	$1930-1939$	$57.236$
$6$	$1940-1949$	$57.290$
$7$	$1950-1959$	$57.164$
$8$	$1960-1969$	$57.092$
$9$	$1970-1979$	$57.236$
$10$	$1980-1989$	$57.668$
$11$	$1990-1999$	$57.920$
$12$	$2000-2009$	$58.316$

Use your linear regression equation to answer each question.

About how much was the average global temperature changing each decade from 1880 to 2009 according to the data? Explain how you know.

algebra

Decade Number	Decade	Average Temperature ( degree Fahrenheit)
$0$	$1880-1889$	$56.876$
$1$	$1890-1899$	$56.642$
$2$	$1900-1909$	$56.732$
$3$	$1910-1919$	$56.822$
$4$	$1920-1929$	$57.038$
$5$	$1930-1939$	$57.236$
$6$	$1940-1949$	$57.290$
$7$	$1950-1959$	$57.164$
$8$	$1960-1969$	$57.092$
$9$	$1970-1979$	$57.236$
$10$	$1980-1989$	$57.668$
$11$	$1990-1999$	$57.920$
$12$	$2000-2009$	$58.316$

Rewrite the linear regression equation as a function. This time, round the slope and $y$ -intercept to the appropriate place. Explain your reasoning.

algebra

The table shown lists the average global temperature for each decade from 1880 to 2009 .

Decade Number	Decade	Average Temperature ( degree Fahrenheit)
$0$	$1880-1889$	$56.876$
$1$	$1890-1899$	$56.642$
$2$	$1900-1909$	$56.732$
$3$	$1910-1919$	$56.822$
$4$	$1920-1929$	$57.038$
$5$	$1930-1939$	$57.236$
$6$	$1940-1949$	$57.290$
$7$	$1950-1959$	$57.164$
$8$	$1960-1969$	$57.092$
$9$	$1970-1979$	$57.236$
$10$	$1980-1989$	$57.668$
$11$	$1990-1999$	$57.920$
$12$	$2000-2009$	$58.316$

Do the data represent a function? Why or why not? If so, describe the function.

algebra
The volume of an ice cream cone is the measure of how much ice cream a cone can hold. An ice cream company wants to make an ice cream cone with a larger radius that still holds the same amount of ice cream. a) Write an equation to calculate the volume of a cone. b) Convert the equation to solve for the radius.

1/7

Related questions with answers

Katie received a $\$ 75$ gift card for her birthday. She decides to buy new music and movies for her electronic notebook with the gift card. Songs cost $\$ 1.29$ each and movies cost $\$ 14.99$ each.

If Katie buys $20$ songs, what is the greatest number of movies she can buy?

Create a free account to view solutions

Create a free account to view solutions

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