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Y_Kistochka [10]
3 years ago
14

The table shows the relationship between time spent running and distance traveled. A 2-column table with 5 rows. The first colum

n is labeled time (minutes) with entries 1, 2, 3, 4, 5. The second column is labeled distance (feet) with entries 530; 1,050; 1,600; 2,110; 2,650. Which type of model best describes the relationship?
linear, because the r value for the linear model is closest to 1
exponential, because the r value for the exponential model is closest to 0
linear, because the rate of change between each pair of points is exactly 520
exponential, because the rate of change between each pair of points is 1.98
Mathematics
1 answer:
user100 [1]3 years ago
4 0

Answer:

Step-by-step explanation:

It is not perfectly linear because the difference between the y values is not constant. However, when you use the regression function on your calculator and enter the L1 values as your x's and the L2 values as your y's and use the LinReg equation, you get an r-squared value of .999900 and an r value of .999950. So it linear, with your answer being "linear, because the r value for the linear model is closest to 1".

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Answer:

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The distance between the friends is changing at the constant rate of 50 mph.

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The equation for the distance in the westerly direction is ...

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Then the total distance between the friends is ...

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Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.
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Answer: Time taken by him in going = 8 hours

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Step-by-step explanation:

Let the total distance from home to New York is x miles,

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Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

And, returned over the same road at the rate of 40 mph.

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

According to the question,

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⇒ \frac{x}{40}-\frac{x}{45}=\frac{1}{2}

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⇒ \frac{x}{360} = \farc{1}{2}

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Hence, the total distance from home to New York = x miles = 360 miles

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

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=\frac{360}{40}=9\text{ hours}

3 0
3 years ago
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