Kimmie2019
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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.

Respuesta :

veronicaculs

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.

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