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mariarad [96]
3 years ago
5

Jacob distributed a survey to his fellow students asking them how many hours they spent on the Internet in the past day. He also

asked them to rate their mood on a scale from 0 to 10, with 10 being the happiest. A line was fit to the data to model the relationship.

Mathematics
1 answer:
Anna35 [415]3 years ago
8 0

The linear equation B. y = -x +7.5 best describes the given model. The mood rating for a student that spent 5.5 hours online would be 2.

Step-by-step explanation:

Step 1; We plot the points that fall on the line and that lie on an exact x or y coordinate. The following 4 points are plotted (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4). We substitute the values of x in the given equations to see which best describes the model.

Step 2; When y = x + 7.5, we get the coordinates as (0.5, 8), (2, 9.5), (2.5, 10) and (3.5, 11).

When y = -x + 7.5, the coordinates are (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4).

When y = \frac{-1x}{2} + 7.5, the coordinates are (0.5, 7.25), (2, 6.5), (2.5, 6.25) and        (3.5, 5.75).

So equation 2 has the closest values to the actaul graph.

Step 3; By substituting x = 5.5, y = -(5.5) + 7.5 = 7.5 - 5.5 = 2.

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8 0
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Sistemas de ecuaciones
kolezko [41]

Answer:

El Dr. Potter aplicó 32 vacunas de polio y 28 de sarampión.

Step-by-step explanation:

- First, the data must be taken into account to create the equations:

  •  X + Y = 60;    (Equation 1)

- Where:

 X = Number of polio vaccines and Y = Number of measles vaccines.

  •  4X + 2Y = 184;     (Equation 2)

Where for each polio vaccine there are 4 doses and for each measles vaccine there are 2 doses.

- We clear the variable that we want to find in each equation:

  • Y = 60 - X;     (And we call it equation 3)
  • Y = (184-4X) / 2;     (And we call it equation 4)

- Now both equations are equalized in terms of the same variable:

  • 60 - X = (184 - 4X) / 2

- Then X is cleared to find its value:

  • 120 - 2X = 184 - 4X
  • 4X - 2X = 184 - 120
  • 2X = 64
  • X = 32

- Now we demonstrate the value of X obtained in equation 1 or 2 to give the values ​​of Y

  • (32) + Y = 60
  • Y = 60 - 32
  • Y = 28

- Finally, both values ​​are used to see if equation 2 gives us the correct data:

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  • 128 + 56 = 184

- The answer is given:

Dr. Potter gave 32 polio and 28 measles vaccines.

6 0
3 years ago
I'm using double number lines. Martin bought 3 DVDs for $15.00 on Black Friday. At this price, how much would 8 DVDs cost?
bagirrra123 [75]
First of all, I find it easiest to write n equation.

3 / 15 x 8 = 

Now that we have an equation, we can figure out a solution. 

3 / 15 = 5
5 x 8 = 40

So 8 DVD's would cost $40.00. 
6 0
3 years ago
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