A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled.

Answer : Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5:

Step-by-step explanation:

First we rewrite the table:

20    30

50    75

80    120

150   ?

We observe that for each 30 number of hops, the distance increases by 45 feet.

We must find the slope of the line:

m = (y2-y1) / (x2-x1)

m = (75-30) / (50-20)

m = 1.5

Then, the line is:

y = 1.5x

We substitute x = 150

y = 1.5 * (150)

y = 225

add an image

step-by-step explanation:

y=-2x+1500

step-by-step explanation:

+1500

2 over one