20 !

a rental car company offers two rental plans, plan a and plan b, for the same economy size car. for both plans, the total
rental cost, f(m) is a function of the number of miles, m, that the car is driven.

plan a: f(m) = 0.12m + 75
plan b: f(m) = 0.35m

i. in complete sentences, translate each function into a verbal model describing the total cost of the rental in terms of
the number of miles that the car is driven.

ii. for each function, determine how the rate of change will affect the total cost of a car rental.

iii. for a car rental that will include a maximum of 250 miles for the duration of the rental, which plan is the most cost
effective.

Beatrice decides she wants to babysit a few children at the same time to earn the money faster. she tells parents that if they allow her to babysit their children at her house, she will eliminate her automatic $5 tip and will give them an additional $5 discount. (a) write an equation showing the total cost for each client. identify all variables. (b) four parents bring their children to beatrice’s house at the same time for babysitting. beatrice wants to find out how many hours she must babysit the 4 children to earn exactly the $100 she needs in order to buy the present for her mother. write and solve an equation to find the number of hours. justify each step in the solution. (c) one parent decides not to drop off her child. the remaining 3 parents drop their children off at 9 a.m. two of the parents say they will be back at 1 p.m. the third parent says she will pick up her child at 2 p.m. at noon, beatrice realizes she needs feeding the 3 ch

Which best explains why this triangle is or is not a right triangle ?

Anew landowner is interested in constructing a fence around the perimeter of her property. her property is 1,080√30 feet wide and 500√20 feet long. what is the perimeter of the property? (recall that the perimeter is the sum of each side of a shape or boundary). a 1,580√40 feet b. 5,320√5 feet c. 3,160√20 feet d. 10,640√5 feet