AnswersHigh School Math 2 ALinear Growth vs. Exponential Growth

Linear Growth vs. Exponential Growth Answers

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1
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What means the same as 6 × 5?

A
65
B
5 + 5 + 5 + 5 + 5
C
6 + 6 + 6 + 6 + 6
2
Free Preview

What means the same as 65?

A
5 • 5 • 5 • 5 • 5
B
6 • 6 • 6 • 6 • 6
C
6 + 6 + 6 + 6 + 6
3

What means the same as 3 + 3 + 3 + 3?

A
35
B
3 × 3
C
3 × 4
4

What means the same as 2 • 2 • 2 • 2 • 2?

A
25
B
2 × 5
C
52
5

Identify the type of function graphed to the right.

A
linear
B
exponential
C
other
6

For an increase of 1 in the x-value, what is the increase in the y-value?

Answer:

2

7

Identify the type of function graphed to the right.

A
linear
B
exponential
C
other
8

What is the missing number in the table?

Answer:

16

9

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.
10

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.
11

Which growth pattern is represented in the table? exponential✔ linearother

A
exponential
B
✔ linear
C
other
12

Which growth pattern is represented in the table?✔ exponentiallinearother

A
✔ exponential
B
linear
C
other
13

Elisa puts $1,000 into each of 2 bank accounts.Account A: 3% interest rate, compounded annually, which is linear✔ exponential growthAccount B: $40 bonus added to the account each year, which is ✔ linearexponential growth

A
linear
B
✔ exponential
14

If Elisa keeps the money in both accounts for 3 years, which account will yield more?

A
Account A
B
Account B
15

How much money will be in Account A at the end of 3 years? $ ⇒ 1092.73 How much money will be in Account B at the end of 3 years? $ ⇒ 1120

Answer:

PENDING

16

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.

17

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.
18

As x increases by 1 unit, what is the exponential growth factor? ⇒ 3

Answer:

PENDING

19

Some of the graph is shown. The graph shows exponential growth.✔ linear growth.quadratic growth.no clear pattern.

A
exponential growth.
B
✔ linear growth.
C
quadratic growth.
D
no clear pattern.
20

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.

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