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
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To find out how many miles Joe drove the truck, you can set up a linear equation based on the information given. The total cost equation can be written as: \[ 19.99 + 0.85x = 252.89 \] where \( x \) represents the number of miles driven. To solve for \( x \), subtract the base fee from the total cost: \[ 0.85x = 252.89 - 19.99 \] This simplifies to: \[ 0.85x = 232.90 \] Now, divide both sides by 0.85: \[ x = \frac{232.90}{0.85} \] Calculating that gives you the total miles Joe drove! To double-check your work, plug your calculated mileage back into your original equation to see if it returns the total cost. This is a crucial step often overlooked; it's a great way to ensure you're on the right track and avoid silly mistakes. Always validate your answer before moving on!
