Ivan will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of
$49.98
and costs an additional $0.19 per mile driven. The second plan has an initial fee of $55.98 and costs an additional
$0.14 per mile driven. How many miles would Ivan need to drive for the two plans to cost the same?

Question

Ivan will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of 
$49.98
 and costs an additional $0.19 per mile driven. The second plan has an initial fee of $55.98 and costs an additional 
$0.14 per mile driven. How many miles would Ivan need to drive for the two plans to cost the same?

ebonyserrano · Answer

@Will.H

thatonegirl_ · Answer

make an equation for the first and second and set them equal to each other. Any ideas on the first equation?

will.h · Answer

The 1st equation would be 
Y=0.19x + 49.98

The 2nd would be 
Y= 0.14x + 55.98

Use substitution method to solve 

0.14x + 55.98 = 0.19x + 49.98
6 = 0.05x 
120 = x

ebonyserrano · Answer

so it would be 120 miles? @Will.H

will.h · Answer

Yeah since x represents miles

ebonyserrano · Answer

thank you!