A rectangular box with no top is to have a square base and a volume of 30 ft3. The material for the base costs 21 cents/ft2 and the material for the sides costs 18 cents/ft2. If x denotes the length of one side of the base (in feet), find a function in the variable x giving the total cost of materials used in constructing the box in cents.

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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.