Tyler Spencer
04/09/2023 · High School

Question 7, 3.3.75 Part 1 of 3 \( \begin{array}{l}\text { HW Score: } 22.22 \%, 6 \text { of } 27 \\ \text { The cost of renting a car for a day is given by the linear function } \mathrm{C}(\mathrm{x})=0.4 \mathrm{x}+21 \text {, where } \mathrm{C}(\mathrm{x}) \text { is in dollars and } \mathrm{x} \text { is the } \\ \text { number of miles driven. Use this information to answer the questions below. } \\ \text { a. Find the cost of driving the car } 300 \text { miles. }\end{array} \)

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To find the cost of driving the car for 300 miles using the given linear function \( C(x) = 0.4x + 21 \), we can substitute \( x = 300 \) into the function. \[ C(300) = 0.4(300) + 21 \] Now, calculate \( 0.4 \times 300 \): \[ 0.4 \times 300 = 120 \] Next, add 21 to this result: \[ C(300) = 120 + 21 = 141 \] Therefore, the cost of driving the car for 300 miles is \( \boxed{141} \) dollars.

Quick Answer

The cost of driving 300 miles is $141.
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