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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?

2 Answers

4 votes

Answer:

4

Explanation:

i took the test thing too

User Mtazva
by
7.7k points
6 votes
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
User ItZme
by
8.8k points

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