Exponential Growth and Decay

Front

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

Back

4309

Tags

CCSS.HSF.BF.A.2

Front

Printer worth after 8 years with 5% annual depreciation on $35,000?

Back

$23,219.72

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

To find the number of mosquitoes after 4 months, we can use the formula: $P = P_0(1 + r)^t$, where $P_0$ is the initial population, $r$ is the growth rate, and $t$ is the time in months. Here, $P_0 = 4000$, $r = 0.25$, and $t = 4$. Thus, $P = 4000(1 + 0.25)^4 = 4000(1.25)^4 = 4000(2.44140625) \approx 9765$.

Tags

CCSS.HSF.BF.A.2

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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

Tags

CCSS.HSA.CED.A.1

Front

Is this exponential growth or decay?

Back

Decay

Front

Initial value for the function: f(x) = 300(1.16)^x?

Back

300

Tags

CCSS.HSF.LE.B.5

Front

Exponential growth function for a painting valued at $1400 with a 9% annual increase.

Back

y=1400(1.09)^x

Tags

CCSS.HSF-LE.A.1A

Front

Function with initial amount $15 and 35% increase 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

Tags

CCSS.HSF.LE.A.2

Front

What is b, the common ratio, for the function: f(x) = 300(1.16)^x?

Back

1.16

Front

Classify the model: A=1200(.85)⁶
Options: Growth, Decay

Back

Decay

Tags

CCSS.HSF-IF.C.8B