Question

the graph represents the direct variation function between earnings in dollars and hours worked. store clerk pay which equation can be used to describe the direct variation function between e, the total earnings in dollars, and h, the number of hours worked? e = 1.5h e = 7.5h e = 13h e = 15h

Explanation:

Step1: Recall direct variation formula

The formula for direct variation is \( E = kh \), where \( k \) is the constant of proportionality (slope).

Step2: Find two points on the graph

From the graph, when \( h = 4 \), \( E = 30 \) (or other points like \( h = 8 \), \( E = 60 \)).

Step3: Calculate \( k \)

Using \( E = kh \), substitute \( h = 4 \) and \( E = 30 \): \( 30 = k \times 4 \), so \( k=\frac{30}{4}=7.5 \).

Step4: Verify with another point

Check \( h = 8 \): \( E = 7.5\times8 = 60 \), which matches the graph.

Answer:

\( E = 7.5h \) (the option: \( E = 7.5h \))