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dlinn [17]
3 years ago
14

On average, Logan drinks 2/3 of a 6-ounce glass of water in 2 1/4 hours. How much water does he drink, in glasses per hour?

Mathematics
1 answer:
konstantin123 [22]3 years ago
4 0

Answer:

3/4 of a 6-ounce glass will be drunk by her in one hour.

Step-by-step explanation:

Given time = 2/3 of hour

                  = 2/3 (60)       As hour = 60 mins

                  = 120/3

                   = 40 mins

Given quantity of water = 1/2 of 6-ounce

                                      = 3 ounce

So,

  In 40 mins, water intake is 3 ounce

  In 1 min, water intake is 3/40

  In 60 mins, water in take is (3/40)*60 = 4.5 ounce

Quantity of water intake in 60 mins:

       4.5 ounce or 3/4 of 6-ounce glass

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Virty [35]
Hence it is a simply rearrangement of the equation to start with, in order to make  the subject:






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The easiest way to draw a straight-line graph, such as this one, is to plot the y-intercept, in this case (0, 490), then plot another point either side of it at a fair distance (for example substitute  = -5 and  = 5 to procure two more sets of co-ordinates). These can be joined up with a straight line to form a section of the graph, which would otherwise extend infinitely either side - use the specified range in the question for x-values, and do not exceed it (clearly here the limit of -values is 0 ≤ x ≤ 735, since neither x nor y can be negative within the context of the question - the upper limit was found by substituting  = 0).

In function notation, the graph is:



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When the profit is higher, the gradient is not changed (this is defined by the relationship between the $2 and $3 prices, not the overall profit) - instead the -intercept is higher:






Therefore we have gleaned that the new y-intercept is.

Clearly I cannot see the third straight line. However the method for finding the equation of a straight line graph is fairly simple:

1. Select two points on the line and write down their coordinates
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4. Find the change in  (Δ
5. Divide the result of stage 3 by the result of stage 4
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For example if the two points were (1, 9) and (4, 6):

Δ = 6 - 9 = -3
Δ = 4 - 1 = 3
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I choose the point (4, 6)
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Within the context of the question, I imagine the prices of the two lunch specials will be the same in the third month and hence the gradient will still be  - this means steps 1-6 can be omitted. Furthermore if the axes are clearly labelled, you may even be able to just read off the y-intercept and hence dispose with steps 1-8!
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ra1l [238]
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if log 243 base 9 = y, then 243^y=9 -> y = 2/5

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