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 variables

We know $y = 0.555x+1.629$, where $y$ is the number of business - deliveries and $x$ is the number of home - deliveries. We are given $y = 50$ and need to solve for $x$.

Step2: Substitute $y$ into the equation

Substitute $y = 50$ into $y=0.555x + 1.629$. We get $50=0.555x+1.629$.

Step3: Isolate $x$

First, subtract 1.629 from both sides: $50 - 1.629=0.555x$, so $48.371 = 0.555x$. Then, divide both sides by 0.555: $x=\frac{48.371}{0.555}\approx87.16$.

Answer:

C. 87