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 equation \( y=0.555x + 1.629 \), when \( y = 50 \), we have \( 50=0.555x + 1.629 \).

Step2: Solve for \( x \)

First, subtract \( 1.629 \) from both sides: \( 50 - 1.629=0.555x \), so \( 48.371 = 0.555x \).
Then, divide both sides by \( 0.555 \): \( x=\frac{48.371}{0.555}\approx87 \).

Answer:

C. 87