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Hello, I need some help understanding the process of how this equation is done.

Hello, I need some help understanding the process of how this equation is done.-example-1
User Ado Ren
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Equations

The first plan has no initial fee and costs $0.80 per mile driven. Let's make:

x = number of miles driven

Thus the cost of the first plan is:

C1 = 0.80x

The second plan has an initial fee of $55 and costs $0.30 per mile driven. The total cost of this plan is:

C2 = 55 + 0.30x

It's required to find the number of miles needed to drive for both plans to cost the same, thus we equate C1 = C2 and solve for x.

0.80x = 55 + 0.30x

Subtracting 0.30x:

0.50x = 55

Dividing by 0.50:

x = 55 / 0.50

x = 110

Ivan needs to drive 110 miles for both plans to cost the same

User Alex Yarmula
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