Exponential Functions Review

Front

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

Back

Y-INTERCEPT

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

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

Back

Decay

Front

Classify the model: A=10(1.01)³
Options: Growth, Decay

Back

Growth

Front

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

Back

Exponential Growth

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, $P = 4000(1 + 0.25)^4 = 4000(1.25)^4 = 4000(2.44140625) \approx 9765$.

Front

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

Back

y=5000(0.7)^x

Front

What is the domain of the function shown below?

Back

All Real Numbers

Front

Which represents exponential decay? Options:

A

,

B

,

C

,

D

Back

D

Front

Which does y= 2(.5)^x represent?

Back

Exponential Decay