In this item, we are tasked to determine the values of y in each of the numbered items that would show the proportional relationship between the points.
1. 4/8 = 1/y
Rearranging the equation so that y is on one side will give us,
y = 1 / (4/8)
y = 8/4 = 2
y = 2
2. (3,21) = 1/y
We rearrange the equation in order to have y be in left-hand side of the equation,
y = 1 /(3/21)
y = 21/3
The final answer to this item is y = 3.
3. (1.5, 9) = 1/y
Same as what had been done in the past two items,
1.5/9 = 1/y
Rearranging,
y = 1/(1.5/9)
Simplifying,
y = 9/1.5 = 6
y = 6
4. (3.5, 14) = (1, y)
3.5 / 14 = 1/y
Rearranging,
y = 1/(3.5/14)
Simplifying,
y = 14/3.5
y = 4
