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

Answer:

Calculate the ratio of hops to distance (1: 1.5), then multiply 150 by 1.5.

Step-by-step explanation:

A child is bouncing on a sidewalk. The following ratio table reveals the relationship between hops and distance covered. Hopping Number of hops Distance (ft) 20 30 50 75 80 120 150?

What statement accurately describes how to determine the distance covered after 150 hops? Subtract 120 from 75 to obtain 45, then add that value to 120. Summing up 30 + 75 + 120 yields another result. Calculate the ratio of hops to distance (1:1.5), then multiply 150 by 1.5. You can also find the ratio of hops to distance (1:1.5), then divide 150 by 1.5.

Solution:

The table is:

Number of hops Distance covered

20 30

50 75

80 120

150?

According to the table, for every increase of 30 hops, the distance covered grows by 45 feet

Determine the slope of the line:

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

m=slope of the line

y2-y1 = change in distance

x2 - x1 = change in number of hops

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

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

=45 / 30

m = 1.5

Thus, the equation of the line is:

y = 1.5x

Now substituting x = 150

y = 1.5x

y = 1.5 × 150

y = 225