Question

the table shows the proportional relationship between a hedgehogs weight loss and the number of days of hibernation. how much weight does the hedgehog lose during 125 days of hibernation? use pencil and paper. explain how you know that the relationship between the hedgehogs weight loss and the number of days of hibernation is proportional.

days of hibernation	weight loss of hedgehog (oz)
28	- 0.56
70	- 1.4
100	- 2

the hedgehogs total change in weight over 125 days is
(type an integer or a decimal.)

Explanation:

Step1: Find the unit - rate of weight loss

To check if the relationship is proportional, we find the ratio of weight loss to days for each pair of values. For the first pair: $\frac{- 0.2}{10}=-0.02$. For the second pair: $\frac{-0.56}{28}=- 0.02$. For the third pair: $\frac{-1.4}{70}=-0.02$. For the fourth pair: $\frac{-2}{100}=-0.02$. Since the ratio of weight loss to days is constant ($-0.02$ oz per day), the relationship is proportional.

Step2: Calculate the weight loss in 125 days

We know the unit - rate of weight loss is $-0.02$ oz per day. To find the weight loss in 125 days, we multiply the unit - rate by the number of days. So, the weight loss $=-0.02\times125=-2.5$ oz.

Answer:

$-2.5$