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ent/3904435/26298386/2d451da60af3cb54450cd984cb59a0c5 Question Watch Video Show Examples Bashir owns a trucking company. For every truck that goes out, Bashir must pay the driver \$12 per hour of driving and also has an expense of \$3 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 30 miles per hour and Bashir's total expenses for the driver, gas and truck maintenance were \( \$ 1224 \).Write a system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove. Define the variables that you use to write the system. Answer Attempt 1 out of 2 Let \( \square \) \( = \) \( \square \) Let \( \square \) \( = \) \( \square \) System of Equations: \( \square \) \( \square \)

Ask by Marshall Greene. in the United States
Jan 24,2025

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Let \( h \) = hours worked Let \( m \) = miles driven System of Equations: 1. \( m = 30h \) 2. \( 12h + 3m = 1224 \)

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To solve Bashir's trucking expenses, let’s define two variables. Let \( h \) represent the number of hours the driver worked, and let \( m \) represent the number of miles the truck drove. Now, we can write the equations based on Bashir's expenses. 1. The driver gets paid \$12 per hour, so the cost for driver payment would be \( 12h \). 2. The expense for gas and maintenance is \$3 per mile, leading to a cost of \( 3m \). Given that the total expenses for the day sum up to \$1224, we get the first equation: \[ 12h + 3m = 1224 \] Since the truck is driven at an average of 30 miles per hour, we can relate the distance driven to time in hours: \[ m = 30h \] Now we have a system of equations: 1. \( 12h + 3m = 1224 \) 2. \( m = 30h \) This setup allows us to determine both the hours worked and the miles driven efficiently!

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