A different taxi service charges a pick-up fee of $4 plus a charge of$1.75 per mile driven. Write an equation for this function, and identify the slope and the y-intercept.

Sydney sold b boxes of Girl Scout cookies. Write an algebraic expression for each Notes situation described. a. Samme sold Seven boxes more than Sydney. b. Tyler sold two more than the total number of boxes that Sydney and Samme sold. c. Sydney sold b plus c more boxes of Girl Scout cookies. d. Rachel sold two fewer boxes than twice as many boxes as Samme sold.

In one basketball game, Misha and Sue scored a total of 24 points. Misha and Lavonne scored a total of 32 points. Lavonne scored twice as many points as Sue scored. How many points did each woman score?

In another basketball game, Misha and Sue scored a total of 26 points. Misha and Lavonne scored a total of 21 points, but Lavonne scored only half as many points as Sue. How many points did each woman score?

[Refer to Exercise 2.13.] The total reserves of oil in the world are 1,689,078,618,100 barrels. The total reserves of the top 15 countries listed in Exercise 2.13 are 1,563,350,000,000 barrels. Use a graphical technique that emphasizes the percentage break down of the top 15 countries.

An item is priced at d dollars. Write an algebraic expression for each situation described. a. the cost of 6 of the items b. the cost of n of the items c. the cost of 2 of the items, along with $17.95 of other things d. the reduced price if the item is sold at 30% off e. your change if you pay for the item with two$20 bills f. the amount of tax on the item if the sales-tax rate is 7%.

A taxi cab costs $1.75 for the first mile and$0.75 for each additional mile. You have $20 to spend on your ride. Which inequality could be solved to find how many miles you can travel, if n is the number of additional miles? (A) 1.75n + 0.75 ≥ 20 (B) 1.75n + 0.75 ≤ 20 (C) 0.75n + 1.75 ≥ 20 (D) 0.75n + 1.75 ≤ 2 0

On Valentine's Day, a florist charges $\$ 5$ per rose, plus a $\$ 20$ holiday surcharge. a. Create a table of values to represent the relationship between the number of roses purchased and the total cost. b. In this situation, which quantity would you say depends on which? Why? c. Write an equation to express the relationship between the total cost and the number of roses purchased. d. Construct a graph of the relationship between total cost and number of roses purchased.

Is 5 a solution of 2x^3 - 3x = 135? Tell how you know.

Use the Law of Syllogism to draw a valid conclusion conditional from each set of given statements, if possible. If no valid conclusion conditional can be written, write no valid conclusion and explain your reasoning.

If a number ends in 0, then it is divisible by 2.

If a number ends in 4, then it is divisible by 2.

Explain whether the relationship is a function. Can you represent the data with an equation? If so, write the equation.

Write an equation that is a linear function. Then write an equation that is not a linear function. Justify your answers.

Two companies charge differently for canoe rentals, as shown in the given figure. What is the rate of change for each function? What is the cost to rent a canoe for 4 hours from each company?

Company A: c = 8h + 10, where c= total cost (in dollars) and h = number of hours

Company B: $15 per hour

Environmental biologists use a capture/recapture method to estimate the size of a population of animals in a given geographical area. Suppose they capture twenty birds of interest, tag them, and release them into the wild. A few weeks later in the same area, they capture thirty birds of interest and five of these birds have tags. They use the following proportional relationship to estimate the population size:

$$\frac{N}{C}=\frac{M}{R}$$

$M$ is the number of birds captured and tagged on the first visit. $C$ is the number of birds captured on the second visit. $R$ is the number of tagged birds recaptured. $N$ is the estimate of the population size. a. Given the data in this example, what is the estimate of the population size? b. What ratio is used to compute the population estimate for this bird of interest?