Question

problems (algebraic)
a manufacturing plant earned $80 per man - hour of labor when it opened. each year, the plant earns an additional 5% per man - hour.
write a function that gives the amount a(t) that the plant earns per man - hour t years after it opens.
a(t) =

Explanation:

Step1: Identify growth formula type

This is exponential growth, use $A(t) = P(1+r)^t$, where $P$ is initial value, $r$ is growth rate, $t$ is time.

Step2: Assign values to variables

Initial value $P = 80$, growth rate $r = 0.05$.

Step3: Substitute into formula

Substitute $P$ and $r$ into the exponential growth formula.
$A(t) = 80(1+0.05)^t = 80(1.05)^t$

Answer:

$A(t)=80(1.05)^t$