Question

Mason owns a trucking company. For every truck that goes out, Mason must pay the driver $13 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 30 miles per hour and Mason's total expenses for the driver, gas and truck maintenance were $258. 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 1

x=number of miles driven on that day 258-13x=x

Explanation:

I am not sure if this is correct because it's been a while since I have done this type of math but the reasoning for this is if we take 258 dollars and subtract that by the amount of money spent for an hourly wage (which is 13x), we have a specific number left over, and since driving has an expense of 1 dollar, whatever number left over would be the number of miles driven in that one day. If you would want to find the value for x, it would be an infinite number but rounded down, it would be 18 (this is a whole nother math topic that I won't explain because it would be too long). Also please don't use this as a reliable answer because I am PRETTY sure this is incorrect but hopefully I could help :)