Question

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?

assessment practice
a basketball team played six games. in those games, the team won by 7 points, lost by 20, won by 8, won by 11, lost by 3, and won by 9. which was the mean amount by which the team won or lost over the six games?

Explanation:

Basketball Team Problem

Step1: Define Wins and Losses

Let wins be positive, losses be negative. Scores: \(+7, -20, +8, +11, -3, +9\)

Step2: Sum the Scores

\(7 - 20 + 8 + 11 - 3 + 9 = (7 + 8 + 11 + 9) + (-20 - 3) = 35 - 23 = 12\)

Step3: Calculate Mean

Mean = \(\frac{12}{6} = 2\)

Step1: Find Rate from 8 days

Rate \(r = \frac{28}{8} = 3.5\) ounces per day (assuming weight loss is 28 for 8 days)

Step2: Verify (if needed)

For 115 days, weight loss would be \(3.5 \times 115 = 402.5\) (but table might have different structure, assuming linear relation)

Step1: Use Rate (from part a)

If rate \(r = 3.5\), then weight loss \(= 3.5 \times 115 = 402.5\)

Answer:

The mean amount by which the team won or lost over six games is \(2\) (the team won on average by 2 points).

Hedgehog Weight Problem (Assuming Table is Weight Loss - Days: 8 - 28,? - 75,? - 93,? - 115)

Part a: Daily Weight Loss Rate