Question

Will give most points!!!!(06.02)Jordan plotted the graph below to show the relationship between the temperature of his city and the number of cups of hot chocolate he sold daily
Jordan's Hot Chocolate Sales
22
20
18
16
12
Cups of Hot Chocolate Sold
10
4
2
0 10 20 30 40 50 60 70 80 90
Temperature (°F)
Part A: In your own words, describe the relationship between the temperature of the city and the number of cups of hot chocolate sold. (2 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the point

Answer 1

Answer:

Part A: Linear relationship

Part B: Using the dividing method

Slope = -3.325

y-intercept is (0, 88.5)

Step-by-step explanation:

Part A

The is an approximately linear relationship between the temperature of his city and the number of chocolate sold

Part B

The line of best fit can be drawn by

1) Plot the data points on the graph

2) Divide the number of data points into two with a vertical dotted line

3) Mark the center of the data on each side of the dividing central line with an a or x

4) Draw a straight line through the x marks that extends to the plot edges

5) The straight line drawn is the line of best fit

The approximate slope is found from points (0, 90) and (20, 20) using the formula for gradient, m, such that we have;

$m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Where:

y₁ = 88

x₁ = 0

y₂ = 22

x₂ = 20

Therefore;

$The \ slope, \ m =\dfrac{22-88.5}{20-0} = \dfrac{-66.5}{20} =-3.325$

From the graph, the y-intercept is approximately (0, 88.5) while the x intercept is approximately (26.5, 0)