False. If the area is 0 that means there is nothing there, therefore the area of a polygon cannot be zero.
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.
Let's multiply each of the four squares, one by one.
In blue, we see the dimensions are x by x. x times x = x^2
In pink, we see the dimensions are 9 by x. x times 9 = 9x
In green, the dimensions are x by 3. 3 times x = 3x
And finally, yellow's dimensions are 3 by 9. 3 times 9 = 27
We can now just add all these areas to find the total area:
x^2 + 12x + 27
The answer is (7,2) and 45 units squared.
See attached picture.