Question

The cost in dollars y of producing x computer desks is given by Y=90x+1000Complete the table Find the number of computer desk that can be produced for $7570 ( find x when y =7570)

Answer 1

We are given the following function

`y=90x+1000`

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

`\begin{gathered} y=90(100)+1000 \\ y=9000+1000 \\ y=\$10,000 \end{gathered}`

For x = 200:

`\begin{gathered} y=90(200)+1000 \\ y=18,000+1000 \\ y=\$19,000 \end{gathered}`

For x = 300:

`\begin{gathered} y=90(300)+1000 \\ y=27,000+1000 \\ y=\$28,000 \end{gathered}`

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

`\begin{gathered} y=90x+1000 \\ 7570=90x+1000 \\ 7570-1000=90x \\ 6570=90x \\ (6570)/(90)=x \\ 73=x \\ x=73 \end{gathered}`

Therefore, 73 computer desks can be produced for $7570.