Question

a town saw its population increase by 14% from 2000 to 2020. its population was 15428 in 2000.
a. draw a diagram like the ones shown above. fill in as much information on the diagram as you can
did you complete this step? yes
excellent! this will help you complete the next part of this question.
we can represent the population in 2020 using three different expressions as shown
15428(1)+15428(0.14)
15428(1 + 0.14)
15428(1.14)
b. match each part of the expressions with its meaning in this context. note that you might use some options more than once and some options may not be used at all.
15428(1.14)
1 + 0.14
15428(0.14)
15428(1 + 0.14)
1.14
15428(1)
15428
a. the towns population in 2000
b. the towns population in 2020
c. the change in the towns population from 2000 to 2020
d. the multiplier to determine the 2020 population from the 2000 population
e. the percent change in the towns population from 2000 to 2020
f. none of these

Explanation:

Step1: Analyze the expressions and their meanings

The population in 2000 is 15428. A 14% increase means we can find the new - population in different ways.
15428(1) represents the original population in 2000. 15428(0.14) is the amount of increase in population from 2000 to 2020. 1 + 0.14 = 1.14 is the multiplier to get the 2020 population from the 2000 population.

Step2: Match the parts with their meanings

• 15428(1.14): b. The town's population in 2020
• 1 + 0.14: d. The multiplier to determine the 2020 population from the 2000 population
• 15428(0.14): c. The change in the town's population from 2000 to 2020
• 15428(1 + 0.14): b. The town's population in 2020
• 1.14: d. The multiplier to determine the 2020 population from the 2000 population
• 15428(1): a. The town's population in 2000
• 15428: a. The town's population in 2000

Answer:

15428(1.14): b. The town's population in 2020
1 + 0.14: d. The multiplier to determine the 2020 population from the 2000 population
15428(0.14): c. The change in the town's population from 2000 to 2020
15428(1 + 0.14): b. The town's population in 2020
1.14: d. The multiplier to determine the 2020 population from the 2000 population
15428(1): a. The town's population in 2000
15428: a. The town's population in 2000