A construction worker built steps up to a home. The table shows the linear relationship between the height off the ground in inches and the number of steps.
Number of Steps
Height (inches)
3
20
36
#23.
What is the rate of change of height off the ground with respect to the number of steps?
• Sin. per step
• 16 in. per step
O 1.
§ in. per step
• it in.perstep
Based on the given information, we can calculate the rate of change of height off the ground with respect to the number of steps by finding the difference in height for each two consecutive number of steps.
First, we find the difference in height between 2nd and 1st step:
20 - 3 = 17 inches
Next, we find the difference in height between 3rd and 2nd step:
36 - 20 = 16 inches
So, the rate of change of height off the ground with respect to the number of steps is 16 inches per step.