To estimate the weight of a basketball player with a height of 84 inches, we can use linear interpolation.
First, we need to find the weight for a height of 84 inches based on the two closest heights in the table, which are 78 inches and 79 inches.
Using linear interpolation, the estimated weight for a height of 84 inches is calculated as follows:
Weight = Weight at lower height + ((Weight at higher height - Weight at lower height) / (Height at higher height - Height at lower height)) * (Target height - Height at lower height)
Weight = 253 + ((255 - 253) / (79 - 78)) * (84 - 79)
Weight = 253 + (2 / 1) * 5
Weight = 253 + 10
Weight = 263 pounds
Therefore, about how many pounds would you expect a basketball player to weigh if his height is 84 inches is approximately 263 pounds.
So the closest option is not listed, but the closest answer out of the given choices would be:
D. 307.7 pounds
The table below shows the height (in inches) and weight (in pounds) of eight basketball players.
Height 67 69 70 72 74 74 78 79
Weight 183 201 206 220 226 240 253 255
About how many pounds would you expect a basketball player to weigh if his height is 84 inches?
A. 276.1 ib
B. 289.3 ib
C. 298.4 ib
D. 307.7 ib
1 answer