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mojhsa [17]
3 years ago
14

Georges asked five of his friends how long they studied for the last math test and what grade they received. He found a linear r

egression equation for the data to be y = 9.6x + 65.8. What does the 9.6 mean in the context of this equation? A) His friends on average studied 9.6 hours. B) If they studied 9.6 hours they would get a 0 on the test. C) They should study 9.6 hours in order to get an A on the test. Eliminate D) For every hour they studied their grade would go up 9.6 points.
Mathematics
2 answers:
saveliy_v [14]3 years ago
4 0
Well assuming x is hours, answer D is correct. This is because we are taking amount of hours as the input and the grade they got as an output. So, assuming that every unit step means an hour, for each extra hour someone studied, they got 9.6 more points. The +65.8 means that usually someone who didn't study got a 65.8 because when x is 0 (0 hours studied), what's left is 65.8
steposvetlana [31]3 years ago
3 0

Answer:

The answer is D

Step-by-step explanation:

Trust me i just did it on USA TP

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<em />

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horsena [70]

Answer:

Plane = 441 mi/h; wind =  63 mi/h

Step-by-step explanation:

distance = rate × time

 Let p = the plane's speed in still air

and w = the wind speed . Then,

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 p - w = speed against wind

We have two conditions:

(1)  756 = (p - w) × 2

(2) 756 = (p + w) × 1.5

Distribute the constants                  (3)    756 = 2p - 2w

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Multiply Equation (4) by 4                (6) 3024 = 6p + 6w

Add Equations (5) and (6)                     5292 = 12p

Divide each side by 12                     (7)        p = 441 mi/h

Substitute (7) into Equation(3)                 756 = 882 - 2w

Add 2w to each side                      2w + 756 = 882

Subtract 756 from each side                    2w = 126

Divide each side by 2                                 w = 63 mph

The plane's speed in still air is 441 mi/h.

The wind speed is 63 mph.

Check:

(1) 756 = (441 - 63) × 2     (2) 756 = (441 + 63) × 1.5

   756 = 378 × 2                   756 = 504 × 1.5

   756 = 756                         756 = 756

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