Can you answer these 3 questions for me plz

Mathematics

2 answers:

finlep [7]3 years ago

4 0

A.
$1hr \: 15min = 75min$

$c = 0.22t = 0.22 \times 75 = 16.5$

cost is $16.50

B.

$26.40 = 0.22 \times t$

rearrange to solve for t:

$t = \frac{26.40}{0.22} = 120min$

C. This is the same as part B, only the rate changed

$t = \frac{26.40}{0.25} = 105.6min$

they ask for the greatest number of minutes, so we round down (take the floor of the value).

the answer is 105 minutes.

victus00 [196]3 years ago

4 0

The cost is a function of time in minutes, and t represents minutes.

Part A.

1 hour + 15 minutes = 60 minutes + 15 minutes = 75 minutes

c = 0.22t

For 75 minutes, t = 75

c = 0.22 * 75

c = 16.5

Answer for Part A.: The cost of a 1 hour 15 minute call is $16.50

Part B.

Now we are given the cost, c, and we need to find t, the time in minutes.

c = 0.22t

26.4 = 0.22t

Divide both sides by 0.22

120 = t

t = 120

Answer to Part B.: 120 minutes.

Part C.

The new cost is now 0.25t.
We want the cost to be at most $26.40.
That means the cost must be less than or equal to $26.40.

$0.25t \le 26.4$

$t \le 105.6$

The number of minutes must be less than or equal to 105.6 minutes.
Since the calls are charged by whole minutes, the longest call can be 105 minutes.

Answer to Part C.: 105 minutes

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Answer:

1) Function; Linear Function (y=x)

2) Function; Exponential Function (y=bˣ)

3) Not a function.

Step-by-step explanation:

So, let's go through each table of values. I'm also going to graph them (see attached graphs) because it will make things simpler and provide a visual.

First, also recall what the definition of a function is. A function is a function if and only if an x only has one distinct y-value. No x can have two or more y-values. For instance, (1,2) and (1,3) is not a function between the x repeats. So, let's go through the choices:

We have the table as shown. Let's plot the points. See TABLE 1:

First, there are no repeating x-values, so we can be sure that this is indeed a function.

Looking at the graph, we can see that this resembles a linear graph. So, the parent function of this is a line.

The parent function of a line is:

$y=x$

So, table 1 is associated with a linear function.

Let's again plot the points. See TABLE 2.

Again, there are no repeating x-values, so this is also a function.

Looking at the graph, this resembles an exponential function. The function increases slowly at first but starts increasing increasingly fast. The parent function is thus an exponential function.

So, table 2 is associated with an exponential function.

First, notice how all the x-coordinates are repeating. And since they do not equal the same thing, this is not a function.

Table 3 is not a function and so has no corresponding family function.