Question

2 a population of cheetahs has decreased 30% over the last 18 years. if there were originally about 12,000 cheetahs, how many cheetahs are there now? a. what is the percent decrease in the cheetah population? what was the original population? b. find the change in the number of cheetahs. write the percent as a decimal. percent decrease × original amount = decrease amount ____ × __ = __ c. how many cheetahs are there now? __ − __ = __, so there are about ____ cheetahs now. turn and talk can you find another way to determine how many cheetahs there are now? 3 chasidy is changing the size of the garden shown to fit more vegetables. she plans to increase the width by 25%. a. what will the new width be? increase in width: 8 × \boxed{} = \boxed{} feet new width: 8 + \boxed{} = \boxed{} feet b. how much greater is the new area? original area: 8 × 12 = \boxed{} ft² new area: \boxed{} × 12 = \boxed{} ft² the new area is \boxed{} square feet greater. c. chasidy plans to add 5 more plants. if each vegetable plant requires a minimum of 1.25 square feet, will chasidy’s plan work for the new dimensions of her garden? area needed for new plants: \boxed{} × \boxed{} = \boxed{} ft² will chasidy’s plan work? why or why not?

Explanation:

Problem 2 (Cheetah Population)

Part A

The percent decrease is given as 30%, and the original population is stated as 12,000 cheetahs.

Step1: Convert percent to decimal

30% as a decimal is $0.30$.

Step2: Calculate decrease amount

Multiply the decimal by the original amount: $0.30 \times 12000 = 3600$.

Step1: Subtract decrease from original

Original population minus decrease amount: $12000 - 3600 = 8400$.

Answer:

Percent decrease: 30%
Original population: 12,000 cheetahs

Part B