Question

Seventh gradeK.2 Write equations for proportional relationships from tables 66UTutorialVer en español1) Over the summer, Oak Grove Science Academy renovates its building. The academy'sprincipal hires Jack to lay new tile in the main hallway.3) There is a proportional relationship between the length (in feet) of hallway Jack coverswith tiles, x, and the number of tiles he needs, y.0)) (feet)y (tiles)3276547631199Write an equation for the relationship between x and y. Simplify any fractions.y =

Answer 1

Proportional Relationship

Two variables x and y have a proportional relationship it the following equation stands:

y = kx

Where k is the constant of proportionality.

The number of tiles needed by Jack (y) has a proportional relationship with the length in feet of the hallway (x).

The table gives us some values. We'll summarize them as ordered pairs (x,y) as follows:

(3,27) (6,54) (7,63) (11,99)

We can use any of those ordered pairs to find the value of k. For example, (3,27). Substituting into the equation:

27 = k.3

Solving for k:

k= 27/3 = 9

Thus the equation is:

y = 9x

Note: We could have used any other ordered pair and we would have obtained the very same value of k.