AnswersHigh School Math 2 ALinear Growth vs. Exponential Growth

Linear Growth vs. Exponential Growth Answers

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Some of the graph is shown. The graph shows

A
exponential growth.
B
linear growth.
C
quadratic growth.
D
no clear pattern.
6

Which of the following situations represent linear growth? Check all of the boxes that apply.

A
Martin’s savings account increases because he deposits $25 each week.
B
Cali’s pay increases by 3% per year.
C
Each week, an athlete getting into shape loses 2 pounds.
D
Mei-Lin earns $9 an hour at her job.
7

Which of the following situations describe exponential growth? Check all of the boxes that apply.

A
The number of butterflies in an area increases by 10% per year.
B
The population of a city increases by 500 people per year.
C
Kristy bought a collector’s coin for $2.15 and its value increases at a rate of 3% per year.
D
The number of people who have heard a rumor increases because every person tells 2 other people.
8

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10

Given a set of data, what steps would you take to identify whether the data showed linear or exponential growth?

Answer:

To identify the type of growth, first check that the x-values are in equal intervals. Then, look at the y-values. If the y-values increase by a constant amount (common difference), the data represents linear growth. If the y-values increase by a constant multiplier (common ratio), the data represents exponential growth.

11

Which of the following statements are true about the growth shown in the table?

A
The simple interest shows linear growth because it is adding a constant amount.
B
The simple interest shows exponential growth because it is adding a constant amount.
C
The compound interest shows linear growth because it is multiplying by a constant amount.
D
The compound interest shows exponential growth because it is multiplying by a constant amount.
12

What means the same as 6 × 5?

A
65
B
5 + 5 + 5 + 5 + 5
C
6 + 6 + 6 + 6 + 6
13

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15

How much money will be in Account A at the end of 3 years? $ How much money will be in Account B at the end of 3 years? $

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16

Which of the following steps did you include? Check all of the boxes that apply.

A
Make sure that the x-values are spaced apart in equal intervals.
B
Determine whether the y-values increase by the same amount or by the same ratio.
C
Decide that the data is linear because the y-values increase by a common difference.
D
Decide that the data is exponential because the y-values increase by a ratio or factor.
17

What means the same as 65?

A
5 • 5 • 5 • 5 • 5
B
6 • 6 • 6 • 6 • 6
C
6 + 6 + 6 + 6 + 6
18

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