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.
Accepted Solution
A:
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.