Question
rties of Linear cations Question 25, F.3.117 HW Score: \( 24.05 \%, 6.01 \) of 25 points Part 1 of 3 Points: 0 of 1 Save A truck rental company rents a moving truck for one day by charging \( \$ 24 \) plus \( \$ 0.12 \) per mile. Write a linear equation that relates the cost C , in dollars, of renting the truck to the number x of miles driven. What is the cost of renting the truck if the truck is driven 200 miles? 489 miles? Type the linear equation that relates the cost \( C \), in dollars, of renting the truck to the number of \( x \) miles driven. \[ C= \] \( \square \) (Use integers or decimals for any numbers in the expression. Do not include the \( \$ \) symbol in your answer.)
Ask by Parsons Dunn. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The cost \( C \) in dollars is calculated using the equation:
\[
C = 24 + 0.12x
\]
For 200 miles, the cost is \$48. For 489 miles, the cost is \$82.68.
Solution
Given that the cost is a base fee of \(24\) dollars plus an additional \(0.12\) dollars per mile, we can write the cost \(C\) as a function of \(x\) miles as:
\[
C = 24 + 0.12x
\]
For \(x = 200\) miles:
\[
C = 24 + 0.12(200) = 24 + 24 = 48
\]
For \(x = 489\) miles:
\[
C = 24 + 0.12(489) = 24 + 58.68 = 82.68
\]
Thus, the linear equation is
\[
C = 24 + 0.12x
\]
and the cost for 200 miles is \(48\) dollars, while the cost for 489 miles is \(82.68\) dollars.
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Simplify this solution Mind Expander
The cost \( C \) of renting the truck can be expressed with the linear equation: \[ C = 24 + 0.12x \] This means you pay a flat fee of $24, and then $0.12 for every mile you drive. Now, let’s calculate the costs for the specified miles: For 200 miles: \[ C = 24 + 0.12(200) = 24 + 24 = 48 \] So, driving 200 miles will cost you $48. For 489 miles: \[ C = 24 + 0.12(489) = 24 + 58.68 = 82.68 \] Thus, if you drive 489 miles, it will cost you $82.68.
