Tamara was asked to write an example of a linear functional relationship. she wrote this example:
• my baby-sitting service charges an initial $5.00 fee plus an additional $6.50 per hour.
complete the table below to create an example of the baby-sitting rate.
total hours cost
1
2
state whether tamara's example represents a linear functional relationship. explain your reasoning.

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.

the image of (6, 9) under a dilation is (4, 6). the scale factor is

b. 2/3