Describe how relations and functions are different.

Write a function rule for "The output is one-fourth of the input."

A photo studio offers portraits in $8 \times 10$ and wallet-sized formats.

One customer bought two $8 \times 10$ portraits and four wallet-sized portraits and paid $52.

Another customer bought three$8 \times 10$portraits and two wallet-sized portraits and paid$50.

What is the cost of an $8 \times 10$ portrait? What is the cost of a wallet-sized portrait?

• Can you eliminate a variable simply by adding or subtracting?

• If not, how many of the equations do you need to multiply by a constant?

A cup of coffee is removed from a microwave oven with a temperature of $80^{\circ} \mathrm{C}$ and allowed to cool in a room with a temperature of $25^{\circ} \mathrm{C}$. Five minutes later, the temperature of the coffee is $60^{\circ} \mathrm{C}$. a. Find the rate constant k for the cooling process. b. Find the temperature of the coffee, for $t \geq 0$. c. When does the temperature of the coffee reach $50^{\circ} \mathrm{C} ?$

Find a value for c such that the equation $x^{2}-c=0$ has 11 and -11 as solutions.

Write C in the blank if the sentence uses commas correctly. _____ Land and earth artists are those, who work with rock, soil, turf, and other natural elements.

For the following infinite series, find the first four terms of the sequence of partial sums. Then make a conjecture about the value of the infinite series or state that the series diverges. $\sum_{k=1}^{\infty} 10^{k}$

State whether the function is quadratic. $g(x)=\frac{1}{2 x^{2}-4}$

Edit each sentence to eliminate any incomplete comparison. It is better to start backpacking in mild weather.

Y is proportional to x. Use the x- and y-values to find a linear model that relates y and x. x=15, y=300.

Edit each sentence to eliminate any incomplete comparison. Backpacking in cold climates is more difficult than temperate climates.

Evaluate the following infinite series or state that the series diverges. $\sum_{k=1}^{\infty}\left(\frac{9}{10}\right)^{k}$

Write an equation for each translation of $y = |x|.$ 6.5 units right

Perform the indicated operations and simplify. $\left(x^{2}-5 x+4\right) \div(x-4)$