Jesse took two data points from the weight and feed cost data set and calculated a slope, or average rate of change. A rat weighs 3.5 pounds and costs $4.50 per week to feed, while a Beagle weighs 30 pounds and costs $9.20 per week to feed.
Using weight as the explanatory variable, the slope of a line between these two points is ________
To find the slope of a line between two points, we use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, the y-coordinate represents the feed cost, and the x-coordinate represents the weight.
Let's calculate the slope using the given data:
First, let's find the change in y-coordinates:
Change in feed cost = $9.20 - $4.50 = $4.70
Next, let's find the change in x-coordinates:
Change in weight = 30 pounds - 3.5 pounds = 26.5 pounds
Finally, we can calculate the slope:
slope = (change in feed cost) / (change in weight)
slope = $4.70 / 26.5 pounds
The slope, or average rate of change, is approximately $0.1774 per pound.
Therefore, the slope of the line between these two points is approximately $0.1774 per pound.