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A car wash charges a flat fee for the first 8 minutes of washing time and also charges a certain amount of each additional minute of washing time. Gina took 12 minutes to wash her car and it costs her total of $5. Kris took 17 minutes to wash his truck at a total cost of $6.25. Write an equation that models the total cost of a car wash as a function of the number of minutes spent washing a vehicle.

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Final answer:

To write an equation that models the total cost of a car wash as a function of the number of minutes spent washing a vehicle, we need to consider the flat fee for the first 8 minutes and the additional charge for each extra minute.

Step-by-step explanation:

To write an equation that models the total cost of a car wash as a function of the number of minutes spent washing a vehicle, we need to consider the flat fee for the first 8 minutes and the additional charge for each extra minute. Let's let x represent the number of minutes beyond the first 8 minutes. The equation can be written as:

y = flat fee + additional charge per minute * (x)

Since we know that Gina took 12 minutes to wash her car and it cost her a total of $5, we can substitute these values into the equation to find the values of the flat fee and the additional charge per minute.

In this case, we have: 5 = flat fee + additional charge per minute * (12 - 8)

User Michael Hewson
by
7.4k points
3 votes
8mins= standard rate
1 min after =standard rate + 1
2 mins after = standard rate + 2 etc

Hope this helped
User Dzior
by
8.1k points
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