Answer:
r = 2.5
Step-by-step explanation:
x is directly proportional to y. This can be written as,
x ∝ y
In terms of constant, the proportionality can be written as,
x = ry
Where r is the constant. The table has a set of values for x and y. Let's substitute the values in the first row into the equation with the constant.
10 = r × 4
r = [tex]\frac{10}{4}[/tex]
r = 2.5
Lets check with the second row.
12.5 = r × 5
r = [tex]\frac{12.5}{5}[/tex]
r = 2.5
Since both sets of values have the same answer for the constant, this means that the third row of values should probably have the same constant.
r = 2.5