Problem

The cost in dollars $y$ of producing $x$ computer desks is given by $y=90 x+1000$.
a. Complete the table to the right.
b. Find the number of computer desks that can be produced for $\$ 2980$. (Hint: Find $x$ when $y=2980$.)
\begin{tabular}{|c|c|}
\hline$x$ & $y$ \\
\hline 100 & \\
\hline 200 & \\
\hline 300 & \\
\hline
\end{tabular}
a. Complete the table.
\begin{tabular}{|c|c|}
\hline$x$ & $y$ \\
\hline 100 & $\square$ \\
\hline 200 & $\square$ \\
\hline 300 & $\square$ \\
\hline
\end{tabular}

Answer

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Answer

The completed table is: \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline 100 & \boxed{10000} \\ \hline 200 & \boxed{19000} \\ \hline 300 & \boxed{28000} \\ \hline \end{tabular}

Steps

Step 1 :The cost of producing $x$ computer desks is given by the equation $y=90x+1000$. We can substitute $x$ with 100, 200, and 300 to find the corresponding $y$ values.

Step 2 :For $x=100$, the cost $y$ is $90*100+1000=\$10000$.

Step 3 :For $x=200$, the cost $y$ is $90*200+1000=\$19000$.

Step 4 :For $x=300$, the cost $y$ is $90*300+1000=\$28000$.

Step 5 :The completed table is: \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline 100 & \boxed{10000} \\ \hline 200 & \boxed{19000} \\ \hline 300 & \boxed{28000} \\ \hline \end{tabular}

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