Answer to Question #200640 in Calculus for Brooke

Question

3. Argue for or against using a continuous function to model each of the following scenarios (it is not necessary to find equations). (6 marks)

a) the cost of filling a car’s tank with fuel

b) the fines for speeding on a highway

c) The temperature in an oven as it warms, cooks food, and then cools 

Answer 1

a)

This is a continuous function because the volume of fuel going into a car’s tank is increasing continuously.

b)

This is not a continuous function because the fines are discrete values.

c)

This is a continuous function because temperature changes continuously.