Question

David will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of
$51.96
and costs an additional
$0.15
per mile driven. The second plan has an initial fee of
$43.96
and costs an additional
$0.20
per mile driven. How many miles would David need to drive for the two plans to cost the same?

Answer 1

@ksanka

Answer 2

OpenStudy values the Learning process - not the ‘Give you an answer’ process
Don’t post only answers - guide the asker to a solution.

Answer 3

To find the relationship between miles and money, determine which value is constant at first, then determine which value is depended on miles

the 1st plan
$51.96 + $0.15*n, where n is the number of miles
the 2nd plan
$43.96 + $0.20*n

Answer 4

now u need to find at what n the 1st and 2nd plan cost the same

51.96 + 0.15n = 43.96 + 0.20n
isolate the variable n and solve

Answer 5

So combine on both sides?

Answer 6

subtract 43.96 from both sides and subtract 0.15n from both sides

Answer 7

then combine like terms

Answer 8

51.96-43.96+0.15n-0.15n = 43.96 - 43.96 + 0.20n - 0.15n

Answer 9

i got 160

Answer 10

8=0.05n
yes n=160