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.
<u>Part</u><u> </u><u>(</u><u>a</u><u>)</u>
<u>Part</u><u> </u><u>(</u><u>b</u><u>)</u>
X < 5/6 in interval notation is: (-∞, 5/6). This implies that the values of x must be less than 5/6.
Also, 5/6 as an endpoint is not included due to the inequality symbol, “<“. This, there is an open circle right where 5/6 is located on the number line.
Attached is a screenshot of this inequality as represented on a number line.
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Step-by-step explanation:
I can't see a picture but if u post it we will be happy to help u
After 9 seconds.
(t) = -16t^2 + 1296 // 1296 because that’s the initial height
Now find what value of t makes h(t) equal to 0.
h(t) = 1296 - 16t^2
Use the difference of squares formula
h(t) = (36-4t)(36+4t)
We only take the positive answer, not the negative one (because negative won't make sense here)
36 - 4t = 0
36 = 4t
9 = t