Question

dentify whether the functions below are exponential growth or decay, then determine the rate of growth or decay as a percent.

Answer 1

3. y = 0.5(1.075)ˣ

1. y = 200(1.8)ˣ

2. y = 10(0.95)ˣ

Step-by-step explanation:

The exponential function has the following form

y = a(1 + r)ˣ

Where r is the rate of growth or decay.

If r is positive, it is a rate of growth

If r is negative, it is a rate of decay

For each option, we can write the equation as

y = 0.5(1.075)ˣ

y = 0.5(1 + 0.075)ˣ

Since 0.075 = 7.5% and it is positive, this equation have a rate of growth equal 7.5%

y = 200(1.8)ˣ

y = 200(1 + 0.8)ˣ

Since 0.8 = 80% and it is positive, this equation have a rate of growth equal to 80%

y = 10(0.95)ˣ

y = 10(1 - 0.05)ˣ

Since -0.05 = -5% and it is negative, this equation have a rate of decay equal to 5%

Therefore, the answers are:

3. y = 0.5(1.075)ˣ

1. y = 200(1.8)ˣ

2. y = 10(0.95)ˣ