Doubling Time and Growth Rates

Doubling Time and Growth Rates

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video explains the rule of seventy, a formula used to estimate the time it takes for a variable to double given a specific annual growth rate. The formula is applied to real GDP per capita and investment scenarios, demonstrating how different growth rates affect the time required for doubling, quadrupling, and increasing investments by eight times. The video emphasizes the importance of entering the growth rate as a percentage, not a decimal.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the Rule of Seventy used for?

Estimating the inflation rate over a decade

Calculating the time it takes for a variable to double at a given growth rate

Predicting future stock market trends

Determining the annual growth rate of a variable

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the Rule of Seventy formula expressed?

Seventy multiplied by the growth rate

Seventy divided by the growth rate

Growth rate divided by seventy

Seventy plus the growth rate

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a country's GDP per capita grows at 5% annually, how many years will it take to double?

20 years

10 years

35 years

14 years

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At a 7% annual growth rate, how long does it take for GDP per capita to double?

7 years

20 years

10 years

14 years

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key consideration when using the Rule of Seventy formula?

Multiplying the growth rate by 100

Entering the growth rate as a decimal

Subtracting the growth rate from seventy

Using the growth rate as a percentage

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the doubling time for an investment growing at 1% annually?

35 years

70 years

50 years

100 years

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the growth rate is 2%, how many years will it take for GDP per capita to double?

25 years

35 years

45 years

55 years

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