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:3,5,7,9,11 Height:20,36,52,68,84.What is the rate of change of height off the ground with respect to the number of steps?8in per step 16in per step 1/8 in per step 1/16in per step
To find the rate of change of height off the ground with respect to the number of steps, we need to calculate the difference in height for each additional step.
From the given data, we can see that for every 2 additional steps (3 to 5, 5 to 7, 7 to 9, 9 to 11), the height increases by 16 inches (36 to 52, 52 to 68, 68 to 84). This means the rate of change of height with respect to the number of steps is 16 inches per step.
Therefore, the correct answer is:
16in per step.