Which one of these questions can be modeled by a linear function? Then create a linear function(equation) for those that are linear.

Question

A) side length (in)   Area (in²⁾

          1                      1

          2                      4

          3                      9

          4                      16

          5                      25

 

B) The cost of a frozen yogurt is $2.00.  Each additional topping is $.50.  Compare the total cost to the number of toppings you buy.

 

C). Each time a ball bounces it bounces half as high as it was before.

Answer 1

For a relation to be linear the rate of change must be constant. B) is the only one in which the change is constant - $0.50 for each topping added.

 

C = cost

t = number of toppings

 

C = 2 + 0.5t