A quilted pillow uses 2 square yards of fabric and produces a profit of $8. A quilted blanket uses 12 square yards of fabric and produces a profit of $34. The quilter has 48 square yards of
fabric and wants to make at least 6 pillows. How many pillows and how many blankets should the
quilter make in order to maximize profit?

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options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.