Question

A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ? Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.

Answer 1

Answer: (C)

Step-by-step explanation: Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5.

Answer 2

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