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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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How do you solve this?
Novay_Z [31]

Let's solve your equation step-by-step.


−7x=−2x2+15


Step 1: Subtract -2x^2+15 from both sides.


−7x−(−2x2+15)=−2x2+15−(−2x2+15)


2x2−7x−15=0


Step 2: Factor left side of equation.


(2x+3)(x−5)=0


Step 3: Set factors equal to 0.


2x+3=0 or x−5=0


x=  \frac{-3}{2} or x=5

Answer:


x=    \frac{-3}{2} or x=5


Hope this helps

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