Question

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

17x + 1.75y = 522

y = 40x

Step-by-step explanation:

Let x = the number of hours the driver worked

Let y = the number of miles the truck drove

Then, Luke pay $17 per hour worked and $1.75 per mile and the total was $522, so we can write the following equation:

17x + 1.75y = 522

Because 17x is the total for the number of hours the driver worked and 1.75y is the total for the number of miles the truck drove.

On the other hand, the driver drove an average of 40 miles per hour, so the total number of miles can be calculated as:

y = 40x

So, the system of equations is:

17x + 1.75y = 522

y = 40x