Question

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? Answer choices are rounded to the nearest hundredth.

Answer 1

The slope of the line is 16.56 pounds per dollar.

A linear equation is in the form:

y = mx + b

where m is the slope of the line, y, x are variables, b is the y intercept.

Let y represent the weight and x represent the cost.

A ferret weighs 2.1 pounds and costs $3.40 per week. Hence (3.40, 2.1) while a Labrador Retriever weighs 70 pounds and costs $7.50 hence (7.50, 70)

Hence:

$slope(m)=\frac{70-2.1}{7.50-3.40}=16.56$

The slope of the line is 16.56 pounds per dollar.

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