Spiral for FOM 1

Front

What is the equation for a culture of bacteria that starts with 5000 cells and dies by 30% each year?

Back

y=5000(0.7)^x

Front

Which function represents an initial amount of $15 and an increase of 35% each year?

Back

y = 15(1.35)^x

Front

Simplify: (-5p)^2

Back

25p^2

Front

Classify the model A=1200(0.85)^6 as Exponential GROWTH or DECAY.

Back

Decay

Front

If f(x)= -9x+12, what is f(20)?

Back

-168

Front

What does exponential decay mean in a real-world context?

Back

Exponential decay refers to a decrease in quantity at a rate proportional to its current value, often seen in populations or investments.

Front

What is the general form of an exponential growth function?

Back

y = a(1 + r)^x, where a is the initial amount and r is the growth rate.

Front

What is the general form of an exponential decay function?

Back

y = a(1 - r)^x, where a is the initial amount and r is the decay rate.

Front

How do you determine if a function represents growth or decay?

Back

If the base of the exponential function is greater than 1, it represents growth; if it is between 0 and 1, it represents decay.

Front

What is the value of 0.7 raised to the power of 3?

Back

0.343