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
5. 36
7. 52
9. 68
11. 84
A)8in.per step
B)16in.Per step
C)1/8in. Per step
D)1/16in.per step
To find the relationship between the number of steps and the height off the ground in inches, we can calculate the difference in height between consecutive steps.
For example, between 3 steps and 5 steps, the height increased by 36 - 20 = 16 inches. Similarly, between 5 steps and 7 steps, the height increased by 52 - 36 = 16 inches.
This shows that for each additional 2 steps, the height increases by 16 inches. Therefore, the relationship is 16 inches per 2 steps, or 8 inches per step.
The correct answer is:
A) 8 inches per step.