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.
Answer:
<h2>9 square units</h2>
Step-by-step explanation:
You can use the Pick's formula:

Where
- the number of lattice points inside the polygon
- number of lattice points on the border located on the perimeter of the polygon
From the picture we have:

Substitute:

Answer:
$5
Step-by-step explanation:
Let the number of students be x, then
<u>Initial amount per student was:</u>
<u>After it becomes:</u>
<u>Since amount increased after, it can be shown as:</u>
<u>Multiply each term by x(x - 5) to get rid of the fraction:</u>
- 100(x-5) + x(x - 5) = 100x
- 100x - 500 + x² - 5x - 100x = 0
- x² - 5x - 500 = 0
<u>Positive solution of this quadratic equation is </u>
<u>Amount each person paid after:</u>
Answer: (-3,2) im pretty sure