Exponential Growth and Decay

Front

Equation modeling flea medicine decay: Initial dose = 60 mg, decay rate = 20% per hour.

Back

Front

If there are 6,200 farmers' markets this year and the number increases by 15% each year, how many will there be in 10 years?

Back

25,082

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

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 for exponential growth: $P = P_0(1 + r)^t$, 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, $P = 4000(1 + 0.25)^4 = 4000(1.25)^4 = 4000(2.44140625) \approx 9765$.

Front

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

Back

300

Front

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

Back

y=1400(1.09)^x

Front

Classify the model: A=1200(.85)⁶

Back

Decay

Front

Which of the following graphs represents an exponential decay function?

Back

Front

What is the y-intercept of this function? Options: (0,0), (0,1), (-3,0), (0,-3)

Back

(0,-3)

Front

In an exponential function, what does the 'a' represent? Options: SLOPE, RATE OF CHANGE, Y-INTERCEPT, COMMON RATIO

Back

Y-INTERCEPT