Flashcard 4--Standard Form/Exponential Growth and Decay

Front

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

Back

y=5000(0.7)^x

Front

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

Back

4309

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

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

Back

300

Front

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

Back

After 4 months, the population of mosquitoes will be approximately 9766.

Front

Function to determine monthly cell phone sales x months after January with 3.75% growth rate. Options: f(x) = 417(3.75)^x, f(x) = 417(0.0375)^x, f(x) = 417(1.0375)^x, f(x) = 417(1.375)^x

Back

f(x) = 417(1.0375)^x

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

James' 70 in. giant peach doubles in size every week. How big is the peach after 5 weeks?

Back

70(2)⁵