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Stels [109]
2 years ago
7

A student reads 56 pages in 4 hours. How many pages will the student read in 7 hours? Do these quantities (number of pages read

and time) Vary directly or inversely? Find the constant of variation.
Mathematics
1 answer:
labwork [276]2 years ago
7 0

9514 1404 393

Answer:

  a) 98

  b) directly

  c) k = 14 pages per hour

Step-by-step explanation:

a) In order to answer the first question, we must assume that the number of pages varies directly with the amount of time. Further, we must find the constant of variation:

  p = kt

  56 = k(4)

  k = 56/4 = 14 . . . . pages per hour

Then in 7 hours, the student will read ...

  p = 14(7) = 98 . . . pages

__

b) As we said in part (a), the variation is direct.

__

c) As we found in part (a), the constant of variation is 14 pages per hour.

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Answer as a compound inequality: -4 \le y < 2

Answer in interval notation:  [-4, 2)

=============================================

Explanation:

The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.

The lowest point occurs when y = -4. We include this value. So far we have y \ge -4 which is the same as -4 \le y

The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that y < 2

Combine -4 \le y and y < 2 to get the compound inequality -4 \le y < 2

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To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.

6 0
3 years ago
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Step-by-step explanation:

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3 years ago
Read 2 more answers
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