which graph shows a rate of $7.50 per hour?

# Explanation: ## Step1: Recall slope - rate relationship The rate of $7.50$ per hour represents the slope of the line in a graph of amount earned (y - axis) versus hours (x - axis). A positive rate means a positive - sloped line. The slope formula is $m=\frac{\Delta y}{\Delta x}$. For a rate of $7.50$ per hour, when $x = 1$ hour, $y=7.50$; when $x = 2$ hours, $y = 15.00$. ## Step2: Analyze each graph The first graph has a positive slope. If we consider two points on the line, say $(0,0)$ and $(1,7.5)$, the slope $m=\frac{7.5 - 0}{1-0}=7.5$. The second graph has a slope of $\frac{10}{2}=5$ (using points $(0,0)$ and $(2,10)$). The third graph has a negative slope, which represents a decreasing rate. The fourth graph has a very small positive slope. # Answer: The first graph (the one with a positive - sloped line where for an increase of 1 hour on the x - axis, the amount earned on the y - axis increases by $7.50$)