The graph below shows a scatter plot and linear model of Joanna's height, in inches, for various ages. What is the best interpretation of the slope of the line?

A. Joanna can expect her height to increase about 2.5 inches every year.

B. Joanna can expect her height to increase about 2 inches every year.

C. Joanna can expect her height to increase about 1 inch every 2.5 years.

D. Joanna can expect her height to increase about 1 inch every year.

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DelcieRiveria DelcieRiveria · Answer 1 · 2019-02-03T10:27:17+01:00

Answer:

The correct option is A.

Step-by-step explanation:

The given graph sh a shows scatter plot and linear model of Joanna's height, in inches, for various ages.

From the given graph it is noticed that the linear line passing through the points (0,30) and (2,35).

The slope of the linear model is

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{35-30}{2-0}=\frac{5}{2}=2.5[/tex]

The slope of linear model is 2.5, it means the Joanna can expect her height to increase about 2.5 inches every year.

Therefore option A is correct.

akposevictor akposevictor · Answer 2 · 2022-01-10T12:24:19+01:00

The slope = 2.5, means that Joanna's height will increase at about 2.5 inches every year (Option A)

Slope of a Linear Model = change in y / change in x

Thus, using two points on the scatter plot that represents the linear model, (0,30) and (2,35):

Therefore, the slope, 2.5, means that Joanna's height will increase at about 2.5 inches every year (Option A)

Learn more about slope of linear model on:

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