. I. The graphs of all linear relationships are a line. • II. The graphs of all linear relationships go through the origin.
III. The tables of all linear relationships have a constant rate of change.
• IV. The tables of all linear relationships contain the point (0,0).
Which of the statements above are true?
I and III only
I, II, and Ill only
II and IV only
I, II, III, and IV

Step-by-step explanation:

The graph of a linear relationship consists of the x and y values. The y values are plotted on the vertical axis against the x values on the horizontal axis. A change in the values of x lead to a corresponding change in the value of y. The correct options are

. I. The graphs of all linear relationships are a line. They are sometimes called straight line graphs

III. The tables of all linear relationships have a constant rate of change. This represents the slope

The true statement is

I and III only

step-by-step explanation:

abc

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.