Linear Growth vs. Exponential Growth

Question 1

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

✔ exponential

Question 2

If Elisa keeps the money in both accounts for 30 years, which account will yield more?

Revolt · Accepted Answer

Account A

Question 3

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

Revolt · Accepted Answer

Account B

Question 4

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 5

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.

Linear Growth vs. Exponential Growth Answers

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