Question

Tamara was asked to write an example of a linear functional relationship. She wrote this example:

Answer 1

Answer:

Tamara's example is in fact an example that represents a linear functional relationship.

• This is because the cost of baby-sitting is linearly related to the amount of hours the nany spend with the child: the more hours the nany spends with the child, the higher the cost of baby-sitting, and this relation is constant: for every extra hour the cost increases at a constant rate of $6.5.

• If we want to represent the total cost of baby-sitting in a graph, taking the variable "y" as the total cost of baby-sitting and the variable "x" as the amount of hours the nany remains with the baby, y=5+6.5x (see the graph attached).
• The relation is linear because the cost increases proportionally with the amount of hours ($6.5 per hour).
• See table attached, were you can see the increses in total cost of baby sitting (y) when the amount of hours (x) increases.