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Answer :
Final answer:
The total rental charge for Sandy's 9-day trip with 670 miles driven at a rate of $52.50 per day and 1612 cents per mile would be $11,272.90.
Explanation:
The calculation of the total rental charge for Sandy's trip involves multiplying the daily rate by the number of days and adding the charge per mile multiplied by the number of miles driven. Given that the company charges $52.50 per day for the rental and 1612 cents per mile, we perform the following steps:
Calculate the daily rental charge: 9 days × $52.50/day = $472.50.
Convert the charge per mile to dollars: 1612 cents/mile is equivalent to $16.12/mile.
Calculate the mileage charge: 670 miles × $16.12/mile = $10,800.40.
Add the daily rental charge to the mileage charge to get the total: $472.50 + $10,800.40 = $11,272.90.
Therefore, the total rental charge for Sandy's nine-day trip driving an SUV for 670 miles would be $11,272.90.
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Rewritten by : Barada
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:
[tex]y = mx + b[/tex]
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 [tex]m = \frac{16}{100} = 0.16[/tex]
- Cost of $52.50 per day means that [tex]b = 52.50[/tex]
Thus, the linear function for the charge y in function of the number of miles x is:
[tex]y(x) = 0.16x + 52.50[/tex]
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- The cost of driving 670 miles is [tex]y(670)[/tex], that is, y when x = 670.
[tex]y(670) = 0.16(670) + 52.50 = 159.7[/tex]
The total cost of her trip will be of $159.7.
A similar problem is given at https://brainly.com/question/20849340