Question

Jack plotted the graph below to show the relationship between the temperature of his city and the number of ice cream cones he sold daily:
Part A: In your own words, describe the relationship between the temperature of the city and the number of ice cream cones sold. (5 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 points that you use to calculate slope and y-intercept. (5 points)

Answer 1

Answer:

Part A: When the temperature increases, the number of ice cream cones sold increases.  It shows close to a linear relationship.

Part B: y = 2x+5

Step-by-step explanation:

Part A: When the temperature increases, the number of ice cream cones sold increases.  It shows close to a linear relationship.

Part B: To write the line of best fit, use the points that run a line through the data.

You can connect (0,5) and (25,55) and have a line through the middle of the data.

This line intercepts the y-axis at (0,5) so b=5.

It's slope is

$\frac{y_2-y_1}{x_2-x_1}=\frac{55-5}{25-0} =\frac{50}{25} = 2$

The slope is 2 and b=5 so y = 2x + 5.