Question

Do the values in the table represent a proportional relationship?

x 2 3 4 5
y 5 6 7 8

Answer 1

does 5/2 = 6/3 = 7/4 = 8/5

?????
Bzzzt. But thanks for playing.

Your table is just y = x+3

Answer 2

A proportional relationship is one in which two quantities vary directly with each other.

In other words:

y = k x

Coefficient of proportionality:

k = y / x

If the coefficient k is same for all values of the variable x then relation is a proportional.

In this case:

x = 2 , y = 5 , k = 5 / 2 = 2.5

x = 3 , y = 6 , k = 6 / 3 = 2

x = 4 , y = 7 , k = 7 / 4 = 1.75

x = 5 , y = 8 , k = 1.6

All the coefficients are different, so this is not a proportional relationship.

Answer 3

Ratios: 2/5, 3/6, 4/7, and 5/8.
In a proportion, all ratios are equal.
In the given data, no ratios are equal.
Answer is NO.