Exponential Growth and Decay Flashcard

Front

Equation for Samantha's hair growth: Initial length = 6 in, Growth rate = 14% per week.

Back

y=6(1.14)^x

Front

Equation for bacteria culture starting with 5000 cells, dying by 30% each year.

Back

y=5000(0.7)^x

Front

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

Back

4309

Front

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

Back

$23,219.72

Front

Pick the equation that is exponential growth: y=2(0.5)^x, y = 0.5(2)^x

Back

y = 0.5(2)^x

Front

Pick the equation that is exponential decay: y=2000(0.88), y=0.5(1.88)

Back

y=2000(0.88)

Front

What is the percentage increase of the population annually according to the model y=720,500(1.022)^x?

Back

2.2%

Front

The half-life of Zn-71 is 2.4 minutes. If one had 100.0 g at the beginning, how many grams would be left after 7.2 minutes has elapsed? Options: 100.0g, 50.0g, 12.5g, 8.5g

Back

12.5g

Front

The half-life of strontium-90 is 25 years. How much strontium-90 will remain after 100 years if the initial amount is 4.0 g?

Back

0.25g

Front

Olivia buys furniture on credit with 9.5% interest compounded quarterly. She spent $7,400. How much total will she have paid after 8 years?

Back

$15,683.28