Question

Which equations have a greater unit rate than the rate represented in the table?

Answer 1

Table slope = (4-2)/((6-3) = 2/3

A. 5/7 > 2/3
B. 3/5 < 2/3
C. 1/3 < 2/3
D. 7/9 > 2/3
E. 7/11< 2/3

Answer 2

Answer:

A. y=5/7x  and D. y=7/9x.

Step-by-step explanation:

Given table

x y

-----

3 2

6 4

9 6

We can find the slope/ rate of the table using slope-formula.

Rate = $\frac{y_2-y_1}{x_2-x_1}$

Let us choose (x1,y1) = (3,2) and (x2,y2) = (6,4).

Plugging values of x1,y1, x2 and y2 in the above rate/slope formula, we get

Rate = $\frac{4-2}{6-3}$

Rate = $\frac{2}{3}$.

Now, let us check the rates of each given equations.

A. y=5/7x has rate 5/7.

5/7 is greater than 2/3.

B. y=3/5x has rate 3/5.

3/5 is less than 2/3.

C. y=1/3x has rate 1/3.

1/3 is less than 2/3.

D. y=7/9x has rate 7/9.

7/9 is greater than 2/3.

E. y= 7/11x has rate 7/11.

7/11 is less than 2/3.

Therefore,

A. y=5/7x  and D. y=7/9x  equations have greater unit rate than the rate represented in the table.