Howell Campbell
07/08/2023 · Senior High School
valuate each function for the given value of \( x \), write the solution as an ordered pair: 5. The daily cost to rent a truck is \( \$ 169.98 \), if the rate per mile is \( \$ 0.62 \). Find the function rule to model this relation. Then evaluate the cost if the person renting the truck travels 84 miles.
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Step-by-step Solution
To model the daily cost of renting a truck, we can define a function \( C(x) \) where \( C \) is the total cost and \( x \) is the number of miles traveled. The function can be expressed as:
\[
C(x) = 169.98 + 0.62x
\]
Here, \( 169.98 \) is the fixed daily rental cost, and \( 0.62x \) represents the cost per mile traveled.
Now, we need to evaluate the cost when the person travels 84 miles. We substitute \( x = 84 \) into the function:
\[
C(84) = 169.98 + 0.62 \times 84
\]
Calculating \( 0.62 \times 84 \):
\[
0.62 \times 84 = 52.08
\]
Now, we can add this to the fixed cost:
\[
C(84) = 169.98 + 52.08 = 222.06
\]
Thus, the total cost for renting the truck and traveling 84 miles is \( \$ 222.06 \).
The solution as an ordered pair is:
\[
(84, 222.06)
\]
Quick Answer
The function rule is \( C(x) = 169.98 + 0.62x \). The cost for 84 miles is \( \$ 222.06 \), so the ordered pair is \( (84, 222.06) \).
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