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}
Solution
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}
