We are given the following function
[tex]y=90x+1000[/tex]
Where y is the cost of producing a computer desk and x is the number of computer desks.
Let us find the cost of producing computers for the given x number of computers.
For x = 100
[tex]\begin{gathered} y=90(100)+1000 \\ y=9000+1000 \\ y=\$10,000 \end{gathered}[/tex]
For x = 200:
[tex]\begin{gathered} y=90(200)+1000 \\ y=18,000+1000 \\ y=\$19,000 \end{gathered}[/tex]
For x = 300:
[tex]\begin{gathered} y=90(300)+1000 \\ y=27,000+1000 \\ y=\$28,000 \end{gathered}[/tex]
Therefore, the complete table is
Now, let us find the number of computer desk that can be produced for $7570.
Substitute y = 7570 into the function
[tex]\begin{gathered} y=90x+1000 \\ 7570=90x+1000 \\ 7570-1000=90x \\ 6570=90x \\ \frac{6570}{90}=x \\ 73=x \\ x=73 \end{gathered}[/tex]
Therefore, 73 computer desks can be produced for $7570.
