Question

A gas station offers two ways to pay for oil changes. Plan 1: Pay $30 per oil change. y = 30x Plan 2: Pay $60 for the first oil change and $15 for every oil change after the first. y = 15x + 60 At how many oil changes will the cost for both plans be equal?

Answer 1

4

Explanation:

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Answer 2

For plan 1 we have the following equation:

`y = 30x`
For plan 2 we have the following equation:

`y = 15x + 60`
The variables are defined as:
x: number of oil change
y: total cost
Equating the cost of both plans we have:

`30x = 15x + 60`
From here, we clear the value of x.
We have then:

`30x - 15x = 60 15x = 60 x = 60/15 x = 4`
Answer:
The cost for both plans will be equal at 4 oil changes