Question

select the correct answer.
a florist gathered data about the weekly number of flower deliveries he made to homes and to businesses for several weeks. he used a graphing tool to organize the data in a scatter plot, with x representing the number of home deliveries and y representing the number of deliveries to businesses. then he used the graphing tool to find the equation of the line of best fit:
$y = 0.555x + 1.629$.
based on the line of best fit, approximately how many deliveries are predicted to be made to homes during a week with 50 deliveries to businesses?
a. 29
b. 81
c. 87
d. 93

Explanation:

Step1: Substitute \( y = 50 \) into the equation

Given the line of best - fit equation \( y=0.555x + 1.629 \), when \( y = 50 \), we have the equation \( 50=0.555x + 1.629 \).

Step2: Solve for \( x \)

First, subtract \( 1.629 \) from both sides of the equation:
\( 50−1.629 = 0.555x+1.629−1.629 \)
\( 48.371=0.555x \)
Then, divide both sides by \( 0.555 \):
\( x=\frac{48.371}{0.555}\approx87.16 \)

Answer:

C. 87