let-cxcxcx-be-the-total-cost-in-dollars-of-electricity-used-by-a-factory-from-ti

Question

Let C(x)C(x) be the total cost in dollars of electricity used by a factory from time t=0t=0 to t=xt=x hours, where the cost rate is given by 4\end{cases}"\u003ec(t)={0.5t+3;t≤45;t\u003e4c\left(tight)=\begin{cases}0.5t+3;t\le4\ 5;t\u003e4\end{cases}. Find the formula for C(x)C(x).

Accepted Answer

4\end{cases}"\u003eC(x)={0.25x2+3x;0≤x≤45x−4;x\u003e4C\left(xight)=\begin{cases}$$0.25x^2+3x$$;0\le x\le4\ 5x-4;x\u003e4\end{cases}

Answer

4\end{cases}"\u003eC(x)={0.5x2+3;0≤x≤45;x\u003e4C\left(xight)=\begin{cases}$$0.5x^2+3$$;0\le x\le4\ 5;x\u003e4\end{cases}

Answer

4\end{cases}"\u003eC(x)={0.25x2+3;0≤x≤45;x\u003e4C\left(xight)=\begin{cases}$$0.25x^2+3$$;0\le x\le4\ 5;x\u003e4\end{cases}

Answer

4\end{cases}"\u003eC(x)={0.5x2+3;0≤x≤45x−4;x\u003e4C\left(xight)=\begin{cases}$$0.5x^2+3$$;0\le x\le4\ 5x-4;x\u003e4\end{cases}

Let C(x)C(x) be the total cost in dollars of electricity used by a factory from time t=0t=0 to t=xt=x hours, where the cost rate is given by c(t)={0.5t+3;t≤45;t>4c\(\left\)(t\(\right\))=\(\begin{cases}\)0.5t+3;t\(\le\)4\\ 5;t>4\(\end{cases}\). Find the formula for C(x)C(x).

Let $C (x)$ be the total cost in dollars of electricity used by a factory from time $t equals 0$ to $t = x$ hours, where the cost rate is given by $c (t) = {\begin{matrix} 0.5 t + 3; t \leq 4 \\ 5; t > 4 \end{matrix}$ .
Find the formula for $C (x)$ .