Answer:
Part A)
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
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
Find the slope m
The formula to calculate the slope between two points is equal to
take two points from the graph
(0,90) and (16,0)
substitute the values in the formula
simplify
---> is negative because is a decreasing function
therefore
The linear equation is equal to
Part B) What is the meaning of the slope as a rate of change for this line of best fit
The slope is
That means ----> every 8 days 45 less cars are sold