Question

The cost in dollars y of producing x computer desks is given by y = 90x + 1000.a Complete the table to the right.b. Find the number of computer desks that can be produced for $2800. (Hint: Find x when y = 2800.

Answer 1

Given equation:

`y=90x+1000`

At

`x=100`

Put the value of x in the given equation

`y=90*100+1000`

That implies

`y=9000+1000`

So,

`y=10000`

Similarly when x=200

`y=90*200+1000`

That implies

`y=19000`

In the same way

when

`x=300`
`y=90*300+1000`

That implies

`y=28000`

Here x represents the number of computer desk and y represent the amount

Therefore plugging the value of y equals 2800 in the given equation we obtain

`2800=90x+1000`

that implies

`90x=2700`
`x=30`

The number of computer desks is 30

`2800-1000=90x`
`1800=90x`
`x=(1800)/(90)`
`x=20`