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

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

70.30

step-by-step explanation: