Question

A carpet installer charges a flat rate of $40, plus $1.50 per square foot for labor. So, the total cost for labor depends on the amount of carpet installed. The relationship between the total cost for labor and the amount of carpet installed is . The domain of the relation is x ≥ . The range of the relation is y ≥ .

Answer 1

Answer:

$x\geq 0$  Domain

y = 40+1.5x  relationship

$y \geq 40$  range

Step-by-step explanation:

The domain is the amount of carpet installed.  We can install zero carpeting or any positive amount of carpeting.

$x\geq 0$

Now writing the equation for the cost

They charge 40 flat rate plus 1.50 per square foot

y = 40+1.5x

Let x = 0

y = 40+0

Even if they do not install anything, they still charge 40 dollars flat rate.  That is the minimum amount we have to pay.  As x increases, the cost will increase.

That is the range, or the values of y

$y \geq 40$