Does the following graph represent a proportional or non-proportional relationship? Explain your reasoning.

Non-proportional relationship

Step-by-step explanation:

Proportional relationships must pass through the origin. Otherwise, at , we lose the constant of proportionality, and the y-value at becomes correlated only to the y-intercept.

The format for a proportional relationships is given by , where is some constant referred to as the constant of proportionality.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.