Question

The Scatter plot below shows the linear trend of the number of golf carts a company sold the month of February and a line of best fit representing this trend.

IT IS A DIFFERENT QUESTION FROM REPAIRING GOLF CARTS PLEASE READ


A. Write a function that models the number of golf carts sold as a function of the number of days in the month of February

B. What is the meaning of the slope as a rate of change for this line of best fit.

Answer 1

Answer:

Part A) $y=-5.625x+90$

Part B) see the explanation

Step-by-step explanation:

Part A) Write a function that models the number of golf carts sold as a function of the number of days in the month of February

Let

x ----> the number of days

y ----> the number of golf carts sold

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem

The y-intercept is the point (0,90)

so

$b=90$

Find the slope m

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the graph

(0,90) and (16,0)

substitute the values in the formula

$m=\frac{0-90}{16-0}$

$m=\frac{-90}{16}$

simplify

$m=-\frac{45}{8}$  ---> is negative because is a decreasing function

therefore

The linear equation is equal to

$y=-\frac{45}{8}x+90$

Part B) What is the meaning of the slope as a rate of change for this line of best fit

The slope is $m=-\frac{45}{8}\ golf\ carts\ sold/days$

That means ----> every 8 days 45 less cars are sold