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chaseashley24
03.12.2020 •
Mathematics
Snow Dome Ski Resort has 75 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 68 inches of snow. Currently it is snowing there at a rate of 2 inches per hour.
a) Make a table or a graph showing the amount of snow from 0 to 10 hours at each resort if the snow continues falling at this rate.
b) Indicate on your table or graph where the amount of snow will be the same at both resorts.
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Ответ:
a. See explanation for table
b. The 7th hour
Step-by-step explanation:
Given
Ski Resort
Mt. Winterpark
First, we need to illustrate the amount of snow as an equation in both cases.
Let x be number of hours. and y be the amount of snow
So:
Ski Resort
Mt. Winterpark
Next, we make a table to show the data.
When![x = 0](/tpl/images/0944/9629/b17a9.png)
Ski Resort:![y = 75 + 0 = 75](/tpl/images/0944/9629/b5fde.png)
Mt. Winterpark:![y = 68 + 2(0) = 68](/tpl/images/0944/9629/5c008.png)
When![x = 1](/tpl/images/0944/9629/26584.png)
Ski Resort:![y = 75 + 1 = 76](/tpl/images/0944/9629/2d389.png)
Mt. Winterpark:![y = 68 + 2(1) = 70](/tpl/images/0944/9629/2af4e.png)
When![x = 2](/tpl/images/0944/9629/53319.png)
Ski Resort:![y = 75 + 2 = 77](/tpl/images/0944/9629/fbfe4.png)
Mt. Winterpark:![y = 68 + 2(2) = 72](/tpl/images/0944/9629/b4f4c.png)
When![x = 3](/tpl/images/0944/9629/2d848.png)
Ski Resort:![y = 75 + 3 = 78](/tpl/images/0944/9629/bb7ae.png)
Mt. Winterpark:![y = 68 + 2(3) = 74](/tpl/images/0944/9629/de28d.png)
When![x = 4](/tpl/images/0944/9629/49650.png)
Ski Resort:![y = 75 + 4 = 79](/tpl/images/0944/9629/a961f.png)
Mt. Winterpark:![y = 68 + 2(4) = 76](/tpl/images/0944/9629/5427c.png)
When![x = 5](/tpl/images/0944/9629/105b7.png)
Ski Resort:![y = 75 + 5 = 80](/tpl/images/0944/9629/5f383.png)
Mt. Winterpark:![y = 68 + 2(5) = 78](/tpl/images/0944/9629/fabe1.png)
When![x = 6](/tpl/images/0944/9629/350d0.png)
Ski Resort:![y = 75 + 6 = 81](/tpl/images/0944/9629/6b97c.png)
Mt. Winterpark:![y = 68 + 2(6) = 80](/tpl/images/0944/9629/9fa77.png)
When![x = 7](/tpl/images/0944/9629/fa1fc.png)
Ski Resort:![y = 75 + 7 = 82](/tpl/images/0944/9629/5da0f.png)
Mt. Winterpark:![y = 68 + 2(7) = 82](/tpl/images/0944/9629/92406.png)
When![x = 8](/tpl/images/0944/9629/13e98.png)
Ski Resort:![y = 75 + 8 = 83](/tpl/images/0944/9629/71806.png)
Mt. Winterpark:![y = 68 + 2(8) = 84](/tpl/images/0944/9629/35497.png)
When![x = 9](/tpl/images/0944/9629/442bd.png)
Ski Resort:![y = 75 + 9 = 84](/tpl/images/0944/9629/a015b.png)
Mt. Winterpark:![y = 68 + 2(9) = 86](/tpl/images/0944/9629/b4bf7.png)
When![x = 10](/tpl/images/0944/9629/16667.png)
Ski Resort:![y = 75 + 10 = 85](/tpl/images/0944/9629/78efa.png)
Mt. Winterpark:![y = 68 + 2(10) = 88](/tpl/images/0944/9629/b02ad.png)
Hence, the table is:
x ---- Ski Resort ---- Mt. Winterpark
0 --------75 ----------- 68
1 --------76 ----------- 70
2 --------77 ----------- 72
3 --------78 ----------- 74
4 --------79 ----------- 76
5 --------80 ----------- 78
6 --------81 ----------- 80
7 --------82 ----------- 82
8 --------83 ----------- 84
9 --------84 ----------- 86
10 -------85 ----------- 88
(b)
From the table, the amount of snow is the same at the 7th hour and the snow is 82 inches
Ответ: