Question

question 3 of 5
michaels youth group built a catapult that they use to launch pumpkins.
michael gathered data about the weights of several launched pumpkins and
the distances they traveled. the scatter plot shows the data he gathered and
the line of best fit.
the equation of the line of best fit is ( y = - 9.21x + 168.7 ).
based on the line of best fit, approximately how far is a 5 - pound pumpkin
predicted to travel when launched by the catapult?
a. 18 feet
b. 123 feet
c. 144 feet
d. 214 feet

Explanation:

Step1: Substitute \(x = 5\) into the equation

Given the equation \(y=-9.21x + 168.7\), substitute \(x = 5\).
So, \(y=-9.21\times5+168.7\).

Step2: Calculate the value of \(y\)

First, calculate \(-9.21\times5=-46.05\).
Then, \(y=-46.05 + 168.7\).
\(y = 122.65\approx123\).

Answer:

B. 123 feet