Review Proportional Relationship

Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve fro x. 

Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x.

Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x.

Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

because the cross sums of the proportion are equal

because the cross differences of the proportion are equal

because the cross products of the proportion are equal

because the cross quotients of the proportion are equal

because 192 divided by 32 is equal to 6

because 192 divided by 36 is equal to 6

because if you substitute 6 into the equation for x and cross multiply, you get 1,152= 1,152

because if you substitute 6 into the equation for x and cross multiply, you get 1296 = 1296

$15

$24

$36

$72

$$\frac{40}{1}=\frac{120}{3}$$

$$\frac{1}{40}=\frac{120}{3}$$

$$\frac{40}{3}\ =\ \frac{120}{1}$$

$$\frac{3}{40}=\ \frac{1}{120}$$

$$\frac{14}{6}=\frac{7}{3}$$

$$\frac{6}{14}=\ \frac{7}{3}$$

$$\frac{3}{7}=\frac{14}{6}$$

2

10

40

72

3 teams

8 teams

12 teams

24 teams

y = x-10

y= x/-10

y= -10x

y=10

$$y=\ x\ +\ \frac{4}{5}$$  

$$y=\ \frac{4}{5}x$$  

$$xy=\frac{4}{5}$$  

$$x+y\ =\frac{4}{5}$$