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 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.

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

answer:

1. 0.04

2. 0.15

step-by-step explanation:

i just finished that assignment for properties of probability distributions.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.