Slope as a rate of change
Find the slope (rate of change) between two data points in a real context, and interpret its sign. Unlimited questions, five difficulty levels, and a full worked solution every time, included free with weekly lessons.
Try one
A parking garage bill grows the longer a car stays. At 0 hours, the cost is $6.00. At 8 hours, the cost is $46.00. Find the rate of change of the cost with respect to time.
Answer: 5
See one solved, step by step
Snow in a backyard melts as the days go by. At 0 days, the depth is 26 cm. At 6 days, the depth is 14 cm. Find the rate of change of the depth with respect to time.
📘 Worked solution
1rate = (14 - 26) / (6 - 0)Rate of change is the change in the depth divided by the change in time - that's the slope.
2rate = −12 / 6 = −2Subtract, then divide.
3Rate of change: −2 cm per dayThe negative sign shows the depth is decreasing over time.
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