Do the values in the table represent a proportional relationship?
x 2 3 4 5
y 5 6 7 8
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.
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.
To determine if the values in the table represent a proportional relationship, we need to check if the ratio of the y-values to the x-values is constant.
Let's calculate the ratios:
For the first row, x = 2 and y = 5, the ratio is 5/2 = 2.5.
For the second row, x = 3 and y = 6, the ratio is 6/3 = 2.
For the third row, x = 4 and y = 7, the ratio is 7/4 = 1.75.
For the fourth row, x = 5 and y = 8, the ratio is 8/5 = 1.6.
Since the ratios are not the same for all rows, the values in the table do not represent a proportional relationship.
does 5/2 = 6/3 = 7/4 = 8/5
?????
Bzzzt. But thanks for playing.
Your table is just y = x+3