Modeling 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 $75 and a decrease of 12% each year:

y = 75(12)^x

,

y = 75(1 + 0.12)^x

,

y = 75(0.88)^x

,

y = 75(88)^x

Back

y = 75(0.88)^x

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% per 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

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

Front

Change 6.75% to a decimal.

Back

.0675

Front

Change 11.2% to a decimal.

Back

0.112

Front

What is the decay rate in the model A=1200(.85)⁶? Options:

1200

,

0.15

,

0.85

,

6

Back

0.15