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olga55 [171]
4 years ago
7

What equation is a quadratic model for the data set? X 4, 10, 13, 17, 8, 12, 6 y 20, 86, 174, 274, 72, 135, 44

Mathematics
1 answer:
ElenaW [278]4 years ago
8 0

Answer:

Option C is correct.

y = 0.9673x^2-0.8475x + 10.4334 is an quadratic model equation for the data set

Step-by-step explanation:

To find the equation of the quadratic model for the given data set:

x               y

4              20

10             86

13            174

17             274

8              72

12             135

6               44

  • We begin by entering the data into a graphing utility and displaying the scatter  plot, as shown below in the figure.
  • In the scatter plot, you can see that the data  appears to follow a parabolic pattern.
  • Using the feature of a graphing utility, you can find the quadratic  model as shown below.

Therefore, the quadratic model for the given data is given by;

y = 0.9673x^2-0.8475x + 10.4334


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Answer:

C

Step-by-step explanation:

Let's check the first condition [y=110, t=0] for all the choices and eliminate:

A)

y = 110e^{7t} - 80\\y = 110e^{0} - 80\\y=30

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B)

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C)

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D)

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Note: e^0 = 1

Only C is satisfied. But let's make sure the 2nd condition applies as well.

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Help me -2 (8 - e) = 2 - e​
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Step-by-step explanation:

Step 1: Write equation

-2(8 - e) = 2 - e

Step 2: Solve for <em>e</em>

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Step 3: Check

<em>Plug in e to verify it's a solution.</em>

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