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igomit [66]
3 years ago
10

Marcy spent 8 minutes on the phone while routing 4 phone calls. In all, how many phone calls does Marcy have to route to spend a

total of 20 minutes on the phone? Assume the relationship is directly proportional.
Mathematics
2 answers:
joja [24]3 years ago
5 0

Answer: Marcy will need to route 10 calls to spend a total of 20 mintes on the phone.

Step-by-step explanation: 1 call = 2 minutes.

lyudmila [28]3 years ago
4 0
10 phone calls answered in 20 minutes
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I need helping answering 15. I need to create a table and graph the function.
Alekssandra [29.7K]

ANSWER and EXPLANATION

We want to order the functions from widest to narrowest:

\begin{gathered} y=3x^2 \\ y=2x^2 \\ y=4x^2 \end{gathered}

To do this, we have to plot the graphs of the functions by using a table of values.

Let us find the values of the functions for values of x = -2, 0, 2

For the first function:

\begin{gathered} y=3x^2 \\ \Rightarrow x=-2: \\ y=3(-2)^2=3*4 \\ y=12 \\ \Rightarrow x=0: \\ y=3(0)^2=3*0 \\ y=0 \\ \Rightarrow x=2: \\ y=3(2)^2=3*4 \\ y=12 \end{gathered}

Hence, its table is:

For the second function:

\begin{gathered} y=2x^2 \\ \Rightarrow x=-2: \\ y=2(-2)^2=2*4 \\ y=8 \\ \Rightarrow x=0: \\ y=2(0)^2=2*0 \\ y=0 \\ \Rightarrow x=2: \\ y=2(2)^2=2*4 \\ y=8 \end{gathered}

Hence, its table is:

For the third function:

\begin{gathered} y=4x^2 \\ \Rightarrow x=-2: \\ y=4\left(-2\right)^2=4*4 \\ y=16 \\ \Rightarrow x=0: \\ y=4(0)^2=4*0 \\ y=0 \\ \Rightarrow x=2: \\ y=4(2)^2=4*4 \\ y=16 \end{gathered}

Hence, its table is:

Now, let us plot the graphs of the functions:

Therefore, from the graph, we see that the order of the functions from widest to narrowest is:

y=2x^2;y=3x^2;y=4x^2

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