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.)

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UpStudy AI · Accepted Answer

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.
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.

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