Question

A quantity with an initial value of 5700 decays exponentially

at a rate of 7.5% every 2 days. What is the value of the
quantity after 234 hours, to the nearest hundredth?

Answer 1

36.5625

Explanation:

so, if it decays at a rate of 7.5% every 2 days, and we have 234 hours, we do the following, 234/24, since there are 24 hours in a day, that gives us 9.75, "7.5% every 2 days" so we do this, 9.75/2 = 4.875

4.875 * 7.5 = 36.5625

i migt be wrong, but i'm pretty sure this is the answer, i'm not saying this is the answer like some people do, please let me know if i'm wrong.

Answer 2

3897.77

Explanation:

Decays 7.5%→r=0.075 (divide by 100)

Decays every 2 days: exponent of t/2

(where t is in days)

function- f(t)=5700(1−0.075) ^t/2

234 hours→234/24→9.75 days

Plug in t=9.75

f(9.75)=5700(1−0.075) ^9.75/2

3897.76635734

≈3897.77