Question

question 20 (mandatory) (1 point) a bucket contains 425 ml of water. the capacity of water in the bucket increases 4.8% each hour. which equation models the situation? a) c(t)=425(0.048)^t b) c(t)=425(4.8)^t c) c(t)=425(1.048)^t d) c(t)=425(0.952)^t

Explanation:

Step1: Recall the compound - growth formula

The general formula for exponential growth is $C(t)=C_0(1 + r)^t$, where $C_0$ is the initial amount, $r$ is the growth rate as a decimal, and $t$ is the time.

Step2: Identify the initial amount and growth rate

The initial amount of water $C_0 = 425$ mL and the growth rate $r=4.8\%=0.048$.

Step3: Substitute values into the formula

Substitute $C_0 = 425$ and $r = 0.048$ into the formula $C(t)=C_0(1 + r)^t$. We get $C(t)=425(1 + 0.048)^t=425(1.048)^t$.

Answer:

C. $C(t)=425(1.048)^t$