Rapid Rental Car charges a $55.00 rental fee plus $0.25 per mile driven. Capital Cars charges a $45.00 rental fee and $0.35 per mile driven. A. Write an equation that can be used to find the number of miles for which the rental cost at both companies would be the same.

100 miles

Step-by-step explanation:

Given data

let the number of miles driven be x

and the total charge for x miles be y

Hence the expression for the total charge is

Rapid Rental Car

charges a $55.00 rental fee plus $0.25 per mile driven.

y= 55+0.25x1

Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.

y= 45+0.35x2

Equate 1 and 2

55+0.25x= 45+0.35x

collect like terms

55-45=0.35x-0.25x

10=0.1x

x= 10/0.1

x= 100 miles

Hence the mile is 100 miles

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

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step-by-step explanation:

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