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.
64. It takes 3 1/3s to make a whole, or 1. 1/3 * 64 = 24
We know that
g(x)=f(2x)
the transformation of f(x) to------------> f(2x)
means that point (a,b) in graph of f(x) becomes a point (a/2,b) in graph of f(2x)
therefore
point A (4,5)-----> becomes a point (4/2,5)-----> (2,5) in the graph of g(x)
the answer
the point is (2,5)
Answer:
Carlos has practiced piano for hours.
Carlos needs to practice hours.
Step-by-step explanation:
We have been given that Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.
First of all, we will find piano practiced before school and after school by adding both amounts as:
Make a common denominator:
Add numerators:
Therefore, Carlos has practiced piano for hours.
Now, we will subtract from 2 find number of hours Carlos needs to practice to reach his goal.
Therefore, Carlos needs to practice hours before going to bed in order to meet his goal.