Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

x 3 9 13 20
y 9 27 39 60
State whether the relationship between the variables in the table is a direct variation, an inverse variation,
or neither. If it is a direct or inverse variation, write a function to model it.

Answer 1

The relationship is a direct variation and the function to model it is y = 3x.

Answer 2

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. If they are inversely proportional, an increase in the value of one variable would cause a corresponding decrease in the other variable.

Looking at the given values, as x is increasing, y is also increasing. The constant of proportionality is

9/3 = 27/9 = 3

Therefore, the relationship is a direct variation and the function to model it is

y = 3x

Explanation: