Question

The equation y = 650 (.95)t
represents the decay of the number of flu bacteria in the body after beginning treatment. What is the rate of decay?

(2 points)
Responses

The rate of decay is 95%
The rate of decay is 95%

The rate of decay is .05%
The rate of decay is .05%

The rate of decay is 5%
The rate of decay is 5%

The rate of decay is 32.5
The rate of decay is 32.5

Answer 1

What is the y-intercept of the equation given in 7. above?

(2 points)
The y-intercept is at point (0,

).

Answer 2

The equation \( y = 650 \cdot (0.95)^t \) indicates exponential decay, where the factor \( 0.95 \) represents the remaining amount of bacteria after each time period.

The rate of decay can be found as follows:

1. **Understand the expression \( 0.95 \)**: This tells us that 95% of the bacteria remain after each treatment period.
2. **Calculate the rate of decay**: The rate of decay is the complement of the remaining amount, which is given by \( 1 - 0.95 = 0.05 \) or 5%.

Therefore, the rate of decay is **5%**.

So the correct response is:

**The rate of decay is 5%**.