Exponential Growth Review

Front

What is Exponential Growth?

Back

Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time.

Front

What is the formula for Exponential Growth?

Back

The formula is: y = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.

Front

What is the growth rate in the equation y = 12(1.3)^x?

Back

30%.

Front

What is the growth factor in the equation y = 12(1.3)^x?

Back

1.3.

Front

What type of function is y = 7(5/4)^x?

Back

Exponential Growth.

Front

How do you convert a percentage growth rate to a growth factor?

Back

To convert a percentage growth rate 'r' to a growth factor, use the formula: Growth Factor = 1 + (r/100).

Front

Write an equation for a population that grows at 14% per week starting from 6.

Back

y = 6(1.14)^x.

Front

If a population of mosquitoes is 4,000 and grows at 25% per month, how many will there be after 4 months?

Back

9765.

Front

What is the difference between Exponential Growth and Exponential Decay?

Back

Exponential growth increases over time, while exponential decay decreases over time.

Front

What is the formula for Exponential Decay?

Back

The formula is: y = a(1 - r)^t, where 'a' is the initial amount, 'r' is the decay rate, and 't' is time.