Question

Instructions: Write a linear equation in one variable to help you answer the question. Stephen earns $17 an hour (ℎ) at his job. This week, he had to buy a new uniform shirt for $25. He had $825 left of his paycheck that week. How many hours did Stephen work this week?

Answer 1

Given:

Amount he earns per hour = $17

Cost of new shirt = $25

Amount left = $825

Let's find the number of hours Stephen worked this week.

Let's first write a linear equation representing this situation.

Apply the slope-intercept form:

y = mx + b

Thus, we have the equation:

825 = 17h - 25

Now, let's solve for h.

Add 25 to both sides of the equation:

825 + 25 = 17h - 25 + 25

850 = 17h

Divide both sides by 17:

`\begin{gathered} (850)/(17)=(17h)/(17) \\ \\ 50=h \\ \\ h=50 \end{gathered}`

Therefore, Stephen worked 50 hours this week.

ANSWER:

• Equation:

17h - 25 = 825

• Number of hours worked:

50 hours