if C(m)= 0.50m+30 represents the cost of renting a car, how many miles were driven if the cost is $130?

Mathematics · High School · Mon Jan 18 2021

Answered on

Given the statement:

C(m)= 0.50m+30 represents the cost of renting a car,

Determine how many miles is driven if the cost is $130.

Solution:

In order to determine how many miles is driven, we simply needed to equate the 130 to the solution, and solve for m.

C(m)= 0.50m+30 

130 = 0.50m + 30

Transpose 30 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.

0.50m = 130 - 30

0.50m = 100

Divide both sides by 0.50 in order to determine the value of m.

0.50m/0.50 = 100/0.50

m = 200 miles

Final answer:

m = 200 miles