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andrezito [222]
3 years ago
12

PLZZ HELP!!!

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0

A) For the y-intercept. The cost of the rental fee at 0hour is $100.

B)  The rate of the price of the hall with respect to the time is 66.7 dollars/hour

The y-intercept of the graph is the point where the line cuts the y axis. From the graph, we can see that the line cuts the y-axis at y = 100

This means that the cost of rental fee at 0 hour is $100.

To get the slope of the graph, we will use the coordinate point (0,100) and (3,300)

Slope =\frac{300-100}{3-0}\\Slope = \frac{200}{3}\\Slope =   66.7

This shows that the rate of price of the hall with respect to the time is 66.7 dollars/hour

Learn more here: brainly.com/question/16949303

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The table shows data collected on the relationship between time spent playing video games and time spent with family. The line o
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Complete question :

The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is ý = -0.36x + 94.5.

Video Games (Minutes) Time with Family (Minutes)

40 80

55 75

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A) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 36 minutes playing video games is 81.54.

B) Is it reasonable to use this line of best fit to make the above prediction?

Answer:

81. 54

4) The estimate, a predicted time of 81.54 minutes, is both reliable and reasonable.

Step-by-step explanation:

Given that :

The equation of best fit is defined as :

ý = -0.36x + 94.5.

A.) Predicted number of minutes spent with family (y) for someone who spends 36 minutes playing games (x) will be :

x = 36

From the model :

ý = -0.36(36) + 94.5

y = - 12.96 + 94.5

y = 81.54

Hence.nunber of minutes spent with family = 81.54 minutes.

B.) The correlation Coefficient for the model is - 0.9993, which indicates a very strong negative relationship between both variables. Hence, using this fact, we can conclude that the prediction is reliable. From the data also, spending 36 minutes playing games means such individual will have more time than someone who plays games for 40 minutes, hence, the prediction is also reasonable.

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