When renting a car, Rent-For-Less charges $50 for a deposit and $1.25 per mile. Cheap Rides charges $1.30 per mile and a $40 deposit. At what number of miles will the costs
be equivalent?

200miles

Step-by-step explanation:

Given data

Rent-For-Less

charges $50 for a deposit and $1.25 per mile

let the number of miles be x

and the total distance be y

y=50+1.25x1

Cheap Rides

charges $1.30 per mile and a $40 deposit

y=40+1.30x2

Equate 1 and 2 above we have

50+1.25x=40+1.30x

collect liker terms

50-40= 1.3x-1.25x

10=0.05x

divide both side by 0.05

x= 10/0.05

x=200 miles

Hence the distance in miles is 200miles

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6