the graph represents the direct variation function between earnings in dollars and hours worked. which…

the graph represents the direct variation function between earnings in dollars and hours worked. 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? o e = 1.5h o e = 7.5h o e = 13h o e = 15h

the graph represents the direct variation function between earnings in dollars and hours worked. 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? o e = 1.5h o e = 7.5h o e = 13h o e = 15h

Answer

Explanation:

Step1: Recall direct - variation formula

The formula for direct variation is $E = kh$, where $k$ is the constant of variation.

Step2: Find the value of $k$ using a point on the graph

Let's use the point $(10, 75)$ (we can choose any non - origin point). Substitute $E = 75$ and $h = 10$ into $E=kh$. Then $75=k\times10$. Solving for $k$, we get $k=\frac{75}{10}=7.5$.

Step3: Write the direct - variation equation

The equation is $E = 7.5h$.

Answer:

E = 7.5h