For this case we have that if "y" varies directly with "x", then it is true that:

Where:
k: It is the constant of proportionality
We have according to the data that:

We find the value of "k":

Having "k", we find "y" when
:

ANswer:

Change 4/5 - 2/3 so that the denominator is th same. Let’s try 15.
So, 12/15 - 10/15.
Then, subtract to get 2/15.
Hope it helped :)
Answer:
5,035,041
Step-by-step explanation:
Exponential growth:

y = future amount
a = initial amount
r = growth rate
x = number of periods
Part A: growth at the rate of doubling each 15 minutes for 274 minutes
Each period is 15 minutes.
a = 37
x = 274/15 = number of periods
r = 100%

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Exponential decay:

The growth takes place from 9 AM for 274 minutes, or 4 hours and 34 minutes, until 1:34 PM. The decay goes from 1:34 PM to 7 PM, or 5 hours and 26 minutes, or 326 minutes
Part B: decay at the rate of 6% each 24 minutes for 326 minutes


Answer: 5,035,041
Answer:
When we have a function f(x), the domain of the function is the set of all the inputs that "work" (Not only in a mathematical way, the context is also important) with the function f(x)
In this case, we have a function M(p) = $2*p
This function represents the amount of money collected depending on the number of people who ride on the ferris whell.
Then p can be only a whole number (we can not have 1.5 people, only whole numbers of people).
And we also know that the maximum capacity of the ferris is 64 people.
Then:
p ≤ 64
And we also should add the restriction:
0 ≤ p ≤ 64
(Because p can't be smaller than zero)
Such that p should also be an integer, then, the domain is:
D: p ∈ Z, p ∈ {0, 1, 2, ..., 64}