Exponential Growth and Decay

Front

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

Back

300

Front

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

y = 15(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

Is the pictured graph growth, decay, or linear or none? Options: Exponential Growth, Exponential Decay, Linear, None

Back

Exponential Growth

Front

Is this exponential growth or decay?

Back

Decay

Front

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

Back

70(2)⁵

Front

Write an equation that models Samantha's hair growth, starting at 6 in and growing at 14% a week.

Back

y=6(1+0.14)^x

Front

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

Back

y=5000(1 - 0.30)^x

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

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

Back

$424,527.63

Front

Function with initial amount of $15 and an increase of 35% each year: y = 15(35)^x, y = 15(1.35)^x, y = 15(0.35)^x, y = 35(1.15)^x

Back

y = 15(1.35)^x