Question

1. higher order thinking the table shows the relationship between a hedgehog’s change in weight and the number of days of hibernation. a. what number represents the change in weight for each day of hibernation? b. what number represents the change in weight in ounces for the hedgehog in 115 days of hibernation? weight loss of hedgehog

days of hibernation: 8, 28, 75, 93; change in weight (oz): -0.24, -0.84, -2.25, -2.79

Explanation:

Part a

Step1: Identify the formula

To find the change in weight per day, we use the formula for slope (rate of change), which is $\frac{\text{Change in Weight}}{\text{Days of Hibernation}}$. We can use any pair of values from the table. Let's take the first pair: Days = 8, Change in Weight = -0.24.

Step2: Calculate the rate

Using the formula, we have $\frac{-0.24}{8}$.
Calculating this, $-0.24 \div 8 = -0.03$. We can check with another pair, say 28 days and -0.84 oz: $\frac{-0.84}{28} = -0.03$. So the rate is consistent.

Step1: Use the rate from part a

We found that the change in weight per day is -0.03 ounces per day. To find the change in weight for 115 days, we multiply the rate by the number of days.

Step2: Calculate the total change

The formula is $\text{Total Change} = \text{Rate} \times \text{Number of Days}$. So we have $-0.03 \times 115$.
Calculating this, $-0.03 \times 115 = -3.45$.

Answer:

-0.03

Part b