Question

gorans earnings vary directly with the number of hours he works. suppose that he worked 10 hours yesterday and earned $130. how much will he earn today if he works 9 hours?

Explanation:

Step1: Define direct variation formula

Direct variation means \( E = kh \), where \( E \) = earnings, \( h \) = hours, \( k \) = hourly rate.

Step2: Solve for hourly rate \( k \)

Substitute \( E = 130 \), \( h = 10 \):
\( k = \frac{E}{h} = \frac{130}{10} = 13 \)

Step3: Calculate earnings for 9 hours

Use \( E = kh \), substitute \( k = 13 \), \( h = 9 \):
\( E = 13 \times 9 = 117 \)

Answer:

117