Linear Growth vs. Exponential Growth

Question 1

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

Revolt · Accepted Answer

Martin’s savings account increases because he deposits $25 each week.; Each week, an athlete getting into shape loses 2 pounds.; Mei-Lin earns $9 an hour at her job.

Question 2

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

Revolt · Accepted Answer

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

Question 3

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

Revolt · Accepted Answer

✔ linear

Question 4

Which growth pattern is represented in the table?✔ exponentiallinearother

Revolt · Accepted Answer

✔ exponential

Question 5

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

Revolt · Accepted Answer

Account B

Question 6

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? $

Revolt · Accepted Answer

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

Question 7

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

Revolt · Accepted Answer

linear; ✔ exponential

Question 8

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

Revolt · Accepted 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.

Question 9

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

Revolt · Accepted Answer

The simple interest shows linear growth because it is adding a constant amount.; The compound interest shows exponential growth because it is multiplying by a constant amount.

Question 10

Identify the type of function graphed to the right.

Revolt · Accepted Answer

linear

Linear Growth vs. Exponential Growth Answers

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