Answer:
A, C and F
Step-by-step explanation:
The given function is
It is an exponential function of the form
On comparing both the functions, we get
It means the initial value is 5 and growth factor is 3.
Since both values are positive it means the given functions is an exponential growth function, therefore,
1. The graph is increasing by a common ratio of 3.
2. As x increases, y increases.
3. As x decreases, y approaches 0.
Hence, the correct options are A, C and F.
Answer:
The number of minutes advertisement should use is found.
x ≅ 12 mins
Step-by-step explanation:
(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)
<h3 /><h3>Step 1</h3>
For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.
Probability Density Function is given by:

Consider the second function:

Where Average waiting time = μ = 2.5
The function f(t) becomes

<h3>Step 2</h3>
The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01
The probability that a costumer has to wait for more than x minutes is:

which is equal to 0.01
<h3>
Step 3</h3>
Solve the equation for x

Take natural log on both sides

<h3>Results</h3>
The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger
Answer:

Yes, y is a function of x.

Step-by-step explanation:
For a proportional relation, the equation is given by:

where k is the unit rate of change.
We were told that, Lin's sister earns $9.6 per hour.
This means k=9.6.
We substitute to get:

We could rewrite this as

Yes, y is a function of x.
To obtain an equation describing x as a function of y, we solve for x to get:
