Question

The number of kilograms, y, of original oxygen that remain in the body after t hours can be modeled by the equation y = 0.32(0.76)t . What is the rate of decrease of original oxygen?

Answer 1

Answer:

24%

Step-by-step explanation:

The number of kilograms, y, of original oxygen that remain in the body after t hours can be modeled by the equation y = 0.32(0.76)^t . What is the rate of decrease of original oxygen?

The formula for Exponential Decrease is given as:

y = a(1 - r)^t

Where

y = Amount after time t

a = Original amount

r = Rate of decrease

t = Time

Comparing both Equations

y = 0.32(0.76)^t = y = a(1 - r)^t

We know that

0.76 = 1 - r

Solving for r

Collect like terms

r = 1 - 0.76

r = 0.24

Converting to Percentage

= 0.24 × 100

= 24%

Therefore, the rate of decrease of original oxygen is 24%