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

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

Part B) see the explanation

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=(y2-y1)/(x2-x1)`

take two points from the graph

(0,90) and (16,0)

substitute the values in the formula

`m=(0-90)/(16-0)`

`m=(-90)/(16)`

simplify

`m=-(45)/(8)` ---> is negative because is a decreasing function

therefore

The linear equation is equal to

`y=-(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=-(45)/(8)\ golf\ carts\ sold/days`

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