Question

Tia worked 32.5 hours last week and was paid $403 before her rate stays the same, which equation will calculate the amount Tia is paid (y) based on x hours of work?

A) y = 403
B) y = 12.4x
C) y = 403 + 12.4x
D) y = 32.5x

Answer 1

Tia's hourly wage is $12.4, calculated by dividing her total payment by the hours worked. The equation for her earnings based on hours worked is y = 12.4x, where x is the number of hours.

Step-by-step explanation:

To determine the equation that will calculate the amount Tia is paid (y) based on the hours of work (x), we need to find her hourly wage. Since Tia worked for 32.5 hours and was paid $403, we can divide the total payment by the number of hours to find her hourly wage. The calculation is as follows:

$403 \div 32.5
= $12.4 per hour

Now, to find the total amount she is paid for x hours of work, we can use the equation that multiplies her hourly wage by the number of hours worked. Thus, the correct equation is y = 12.4x, which corresponds to answer choice B). This linear equation tells us that for every hour Tia works, she will earn $12.40.