Exponential Growth and Decay

Front

Name the formula: y=a(1+ r)^t

Back

Exponential Growth

Front

Name the formula:

y = a(1 - r)^t

Back

Exponential Decay

Front

What does the a in y=a(1+r)^t represent? Options:

Time

,

Rate

,

Slope

,

Initial Amount

Back

Initial Amount

Front

What does the r represent in y=a(1+ r)^t?

Back

rate

Front

What does the t represent in y=a(1+ r)^t?

Back

time

Front

Is this exponential growth or decay?

Back

Growth

Front

Is this exponential growth or decay?

Back

Decay

Front

Function with initial amount $15 and 35% increase each year:

y = 15(1 + 35)^x

,

y = 15(1 + 0.35)^x

,

y = 15(0.35)^x

,

y = 35(1 + 0.15)^x

Back

y = 15(1 + 0.35)^x

Front

Formula to calculate the current value of a home purchased 20 years ago for $160,000, with a 5% annual increase.

Back

y= a (1 + r)^t

Front

Formula for a population of 1500 deer decreasing by 1.5% per year over 10 years to approximately 1290 deer.

Back

y= a (1 - r)^t