2.7\nscore: 23/25 answered: 23/25\nquestion 24\na sports franchise revenue can be modeled by the function…

2.7\nscore: 23/25 answered: 23/25\nquestion 24\na sports franchise revenue can be modeled by the function $r(t)=0.346 + 8t$. their operating costs are modeled by the function $c(t)=232 + 19t$, where $t$ is the number of years since 2008 and both $r(t)$ and $c(t)$ are in millions of dollars. find the profit function $p(t)$.\n$p(t)=$\nquestion help: video ebook written example

2.7\nscore: 23/25 answered: 23/25\nquestion 24\na sports franchise revenue can be modeled by the function $r(t)=0.346 + 8t$. their operating costs are modeled by the function $c(t)=232 + 19t$, where $t$ is the number of years since 2008 and both $r(t)$ and $c(t)$ are in millions of dollars. find the profit function $p(t)$.\n$p(t)=$\nquestion help: video ebook written example

Answer

Explanation:

Step1: Recall profit - cost formula

Profit $P(t)=R(t)-C(t)$.

Step2: Substitute the given functions

$P(t)=(0.346 + 8t)-(232 + 19t)$.

Step3: Simplify the expression

$P(t)=0.346 + 8t-232 - 19t$. $P(t)=(8t-19t)+(0.346 - 232)$. $P(t)=- 11t-231.654$.

Answer:

$P(t)=-11t - 231.654$