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: Identify the given values

We know the equation of the line of best fit is \( y = 0.555x + 1.629 \), and we are given that \( y = 50 \) (number of deliveries to businesses). We need to find \( x \) (number of home deliveries).

Step2: Substitute \( y = 50 \) into the equation

Substitute \( y = 50 \) into \( y = 0.555x + 1.629 \), we get:
\( 50 = 0.555x + 1.629 \)

Step3: Solve for \( x \)

First, subtract \( 1.629 \) from both sides:
\( 50 - 1.629 = 0.555x \)
\( 48.371 = 0.555x \)

Then, divide both sides by \( 0.555 \):
\( x=\frac{48.371}{0.555}\approx87.15 \)

Answer:

C. 87