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 calculate the slope of a line, we can use the formula:
slope = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are the coordinates of the two data points.
In this case, let's assign x as the weight and y as the cost of feeding. Therefore, (x1, y1) would be (3.5, 4.50) and (x2, y2) would be (30, 9.20).
Using the formula:
slope = (9.20 - 4.50) / (30 - 3.5)
= 4.70 / 26.5
= 0.176
Therefore, the slope of the line between these two points is approximately 0.176.
To calculate the slope of a line between two points, we can use the formula:
slope = (change in y)/(change in x)
In this case, the weight will be the explanatory variable (x-value), and the feed cost will be the response variable (y-value).
Let's calculate the change in weight and feed cost first:
change in weight = 30 pounds - 3.5 pounds = 26.5 pounds
change in feed cost = $9.20 - $4.50 = $4.70
Now we can calculate the slope:
slope = (change in feed cost)/(change in weight)
= $4.70/26.5 pounds
Therefore, the slope of the line between these two points is approximately $0.1774 per pound.