Question

You are the manager of a rental car company. A customer, Sandy Furrow, has asked you for an estimate of charges for a nine day rental of an SUV. She expects to drive 670 miles. If the company charges $52.50 per day plus 1612 cents per mile for this category of vehicle, what would be the total rental charge (in $) for Sandy's trip

Answer 1

Using a linear function, it is found that the total rental charge will be of $159.7.

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A linear function has the following format:

$y = mx + b$

In which:

• m is the slope, which in the context of this problem, is the cost per mile.
• b is the y-intercept, which in the context of this problem, is the fixed cost.

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• Cost of 16 cents per mile means that $m = \frac{16}{100} = 0.16$
• Cost of $52.50 per day means that $b = 52.50$

Thus, the linear function for the charge y in function of the number of miles x is:

$y(x) = 0.16x + 52.50$

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• The cost of driving 670 miles is $y(670)$, that is, y when x = 670.

$y(670) = 0.16(670) + 52.50 = 159.7$

The total cost of her trip will be of $159.7.

A similar problem is given at https://brainly.com/question/20849340