To find the situation that would have a slope of 5 if graphed, we first need to determine the slope for each situation, which is calculated as the change in the dependent variable (y) over the change in the independent variable (x), or \( \text{slope} = \frac{\Delta y}{\Delta x} \).
Let's analyze each situation:
A) A dog runs 1 mile every 5 minutes.
- Here, \( \Delta y = 1 \) mile and \( \Delta x = 5 \) minutes.
- The slope is \( \frac{1 \text{ mile}}{5 \text{ minutes}} = \frac{1}{5} \).
B) The temperature goes up 5° every 2 hours.
- Here, \( \Delta y = 5 \) degrees and \( \Delta x = 2 \) hours.
- The slope is \( \frac{5 \text{ degrees}}{2 \text{ hours}} = \frac{5}{2} = 2.5 \).
C) A job pays $15 every 3 hours.
- Here, \( \Delta y = 15 \) dollars and \( \Delta x = 3 \) hours.
- The slope is \( \frac{15 \text{ dollars}}{3 \text{ hours}} = 5 \).
Based on this analysis, situation C (A job pays $15 every 3 hours) would have a slope of 5 when graphed.
2 answers