Functions or Not a Function and Direct Variation and Proportional and Not Proportional

Is this graph a function or not a function? 

• Function

• Not a Function

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values pair with it.

• No, because each x-value has only one y-value paired with it.

Is this table a function or not a function? 

• Function

• Not a Function

Is this graph a function or not a function? 

• Function 

• Not a Function

• A

• B

• C

• D

Which table shows a proportional function?

• A

• B

• C

• D

The value of y varies directly with x.  Which function represents the relationship between x and y if y = 20/3 when x = 30?

• y = 200x

• y = 2/9x

• y = 110/3x

• y = 9/2x

The quantity of wooden box made is directly proportional to the number of wooden blocks. The number of wooden blocks needed for 30 boxes is 120. How much wooden blocks are needed for a box?

• 8

• 2

• 3

• 4

The number of baskets Nikki can make varies directly with the amount of time she spends making the baskets. She can make 4 baskets in 1/2 hour. How many baskets can Nikki make in 5 hours?

Mathematical Equivalence

ON

If m and n vary directly and m = 14 when n = 3.5, what is the value of m when n = 8?

• 4

• 32

• 2

• 6.2