Question

higher order thinking the table shows the relationship between a hedgehogs change in weight and the number of days of hibernation.
weight loss of hedgehog
days of hibernation 8 28 75 115
change in weight (oz) -0.24 -0.84 -2.25 -2.79

1. what number represents the change in weight for each day of hibernation?
2. what number represents the change in weight in ounces for the hedgehog in 115 days of hibernation?

Explanation:

Step1: Find the rate of weight - change per day

From the table, when the number of days of hibernation is 8, the change in weight is - 0.24 oz. The rate of change of weight per day $r=\frac{-0.24}{8}=-0.03$ oz per day.

Step2: Calculate the change in weight for 115 days

We use the formula $C = r\times d$, where $r$ is the rate of change per day and $d$ is the number of days. Substitute $r=-0.03$ oz per day and $d = 115$ days into the formula. $C=-0.03\times115=-3.45$ oz.

Answer:

The change in weight in 115 days of hibernation is - 3.45 ounces.