AA www-awu.aleks.com Clever I Connect every student to a world of learning A ALEKS - Sar Linear Equations Solving a decimal word problem using a linear equation of the form \( \mathrm{Ax}+\ldots \) Joe rented a truck for one day. There was a base fee of \( \$ 19.99 \), and there was an additional charge of 85 cents mile driven. Joe had to pay \( \$ 252.89 \) when he returned the truck. For how many miles did he drive the truck? \( \square \) miles Tools Help Get help with enteril Show I

To solve this problem, we can set up a linear equation based on the information provided. Let's denote the number of miles Joe drove as \( x \). The total cost Joe had to pay is the sum of the base fee and the additional charge for the miles driven. The base fee is $19.99, and the additional charge is 85 cents per mile. Therefore, the total cost can be represented by the equation: \[ 19.99 + 0.85x = 252.89 \] Now, we can solve this equation to find the number of miles Joe drove. Solve the equation by following steps: - step0: Solve for \(x\): \(19.99+0.85x=252.89\) - step1: Move the constant to the right side: \(0.85x=252.89-19.99\) - step2: Subtract the numbers: \(0.85x=232.9\) - step3: Divide both sides: \(\frac{0.85x}{0.85}=\frac{232.9}{0.85}\) - step4: Divide the numbers: \(x=274\) The solution to the equation is \( x = 274 \) miles. Therefore, Joe drove the truck for 274 miles.