Question

noah thinks the answers to these two questions will be the same.

• this year, a herd of bison had a 10% increase in population. if there were 550 bison in the herd last year, how many are in the herd this year?
• this year, another herd of bison had a 10% decrease in population. if there are 550 bison in the herd this year, how many bison were there last year?

complete the statement about whether you agree with him.
i select choice with him because the answers are select choice.

Explanation:

Step1: Solve first problem

A 10% increase means the new population is \(100\% + 10\% = 110\%\) of last year's. Last year: 550. So this year: \(550\times1.1 = 605\).

Step2: Solve second problem

A 10% decrease means this year's population is \(100\% - 10\% = 90\%\) of last year's. Let last year's be \(x\). Then \(0.9x = 550\), so \(x=\frac{550}{0.9}\approx611.11\).

Step3: Compare results

605 ≠ ~611.11, so answers differ.

Answer:

I disagree with him because the answers are different (first is 605, second is approximately 611.11).