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zepelin [54]
3 years ago
7

The number of water bottles used during a teams football practice varies directly with the temperature. If a team uses 75 water

bottles when the temperature is 60 degrees, what is the temperature if they use 120 bottles?

Mathematics
1 answer:
lutik1710 [3]3 years ago
8 0
Supposing the temperature of 60 degrees increases twice, it becomes 120  degrees (100% increase) and the bottles increase twice as well to 150 bottles (100% increase). 

If there are 120 bottles used, we can calculate the temperature using the above assumption when bottle usage increase to 100% which is 150 bottles. 

120 bottles/ 150 bottles = 0.8 or 80%

So, if 100% increase in temperature is defines by 120 degrees, what is 80% of 120 degrees?  

Then 120 degrees divided by 0.8 will result to 96 degrees (so the answer is letter D) -- the temperature when 120 bottles were used by athletes.
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Step-by-step explanation:

<h3>understanding the question</h3>

The question is asking you to express the temperature at 5 pm as a pair of graph coordinates.

Doing this requires that you ...

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<h3>reading the graph</h3>

The description of the graph tells you the horizontal scale is hours after noon, so the temperature at 2 pm will be a point on the graph with an x-coordinate of 2. That point is (2, 7), indicating the temperature at 2 pm is 7 °C.

Likewise, the temperature at 8 pm is shown as the point on the graph with x-coordinate 8. That point is (8, -3), indicating a temperature of -3°C at 8 pm.

<h3>halfway temperature</h3>

The temperature halfway between those values (7 °C and -3 °C) can be found several ways. Perhaps the easiest is to average the values:

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The temperature at 5 pm is 2 °C.

<h3>coordinates</h3>

Coordinates on the graph are ordered pairs of the form (x, y) = (hours, °C). The time 5 pm is 5 hours after noon, so the x-coordinate is 5. The temperature at 5 pm is halfway between the temperatures at 2 and 8 pm, which we have computed to be 2 °C, so the y-coordinate is 2.

The coordinates that represent the temperature at 5 pm are ...

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