MU HW Flashcardizz: Exponential Growth or Decay 35Q

Front

What does the 'a' represent in an exponential function?

Back

The 'a' represents the RATE OF CHANGE.

Front

What is the decay factor for a car valued at $15,000 that depreciates at a rate of 8% per year?

Back

The decay factor is 0.92.

Front

Write the equation representing a culture of bacteria that starts with 5000 cells and dies by 30% each year.

Back

y=5000(0.7)^x

Front

If the number of mosquitoes at the beginning of summer is 4,000 and grows at a rate of 25% a month, how many mosquitoes will there be after 4 months?

Back

There will be 9765 mosquitoes.

Front

Write an expression for James' 70 in. giant peach that doubles in size every week after 5 weeks.

Back

The expression is 70(2)^5.

Front

Define exponential growth.

Back

Exponential growth occurs when a quantity increases by a consistent percentage over a period of time.

Front

Define exponential decay.

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over a period of 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 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.

Front

How do you calculate the growth factor in exponential growth?

Back

The growth factor is calculated as 1 + r, where r is the growth rate.