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

plan a: ƒ(m ) = 0.12m + 75
plan b: ƒ(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.

lots of points

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours