Question

The graph shows the height of a staircase in inches based on a certain number of stairs.According to the function in the graph, what is the height of a staircase with 100 stairs? Round the answer to the nearest inch if necessary.
40 inches
20 inches
500 inches
700 inches

Answer 1

Answer:

Option D 700 inches.

Step-by-step explanation:

Given is a graph which shows the height of a staircase in inches based on a certain number of stairs.

Let us consider the no of stairs as x and vertical height of stairs as y.

y is directly proportionl to x.

The stair case elevation is a straight line starting with (0,0) and a point (50,350)

Hence we can write  y = 7x

When no of stairs = x =100, we get

y = 7(100) = 700 inches.

Option D 700 inches.

Answer 2

The graph shows that at 50 stairs, the height is 350 inches. Since the increase is consistent, we can multiply this number (350) times two (350 x 2) which will give us 700 inches. So the answer is D. 700 inches.