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

$y=90\times100+1000$

That implies

$y=9000+1000$

So,

$y=10000$

Similarly when x=200

$y=90\times200+1000$

That implies

$y=19000$

In the same way

when

$x=300$$y=90\times300+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=\frac{1800}{90}$$x=20$