Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A ferret weighs 2.1 pounds and costs $3.40 per week to feed, while a Labrador Retriever weighs 70 pounds and costs $7.50 per week to feed. Using weight as the explanatory variable, what is the slope of the line between these two points?

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MrRoyal MrRoyal · Answer 1 · 2020-09-20T04:31:09+02:00

Answer:

[tex]m = 12.33[/tex]

Step-by-step explanation:

Given

Ferret:

[tex]Weight = 2.1lb[/tex]

[tex]Cost = \$3.40[/tex]

Labrador Retriever

[tex]Weight = 70lb[/tex]

[tex]Cost = \$7.50[/tex]

Required

Determine the slope

Represent the given as x or y

Taking the weight as explanatory variable;

We have:

x = 2.1; y = 3.4

x = 7.5; y = 70

Slope is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{70 - 3.4}{7.5 -2.1}[/tex]

[tex]m = \frac{66.6}{5.4}[/tex]

[tex]m = 12.33[/tex]

Hence, the slope is 12.33