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Pani-rosa [81]
3 years ago
11

TASK 2: Lodge Profits After a long day on the slopes, the skiers/snowboarders like to relax in the lodge with some food and a be

verage. Help the Slopey Mountain Lodge manager calculate some scenarios.... 1) In order to make deliciously warm cappuccinos, the lodge must purchase a cappuccino machine for $500. If the lodge charges $5 for a cappuccino a) Write a linear equation to represent the lodge’s profit (P) for “x” number of cappuccinos.. b) Graph the linear equation that would represent the lodge’s profit for “x” number of cappuccinos. What do the numbers on the x-axis represent? What do the numbers on the y-axis represent? According to your graph, after how many cappuccinos does the lodge break even (reach $0)? c) Use your equation to calculate the lodges profit after selling 300 cappuccinos? d) Use your equation to calculate how many cappuccinos the lodge must sell to make a profit of $1,650
Mathematics
1 answer:
Tcecarenko [31]3 years ago
6 0
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g(x) = -3x+1

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g(x) = 15 + 1

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FinnZ [79.3K]

Answer:

The  average temperature  is T_{a} = 81.95^oC

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From the question we are told that

    The temperature of the coffee after time t is   T(t) =  25 + 72 e^{[-\frac{t}{45} ]}

Now the average temperature during the first 22 minutes i.e fro 0 \to  22minutes is mathematically evaluated as

              T_{a} =  \frac{1}{22-0}  \int\limits^{22}_{0} {25 +72 e^{[-\frac{t}{45} ]}} \, dx

               T_{a} = \frac{1}{22} [25 t  +  72 [\frac{e^{[-\frac{t}{45} ]}}{-\frac{1}{45} } ] ] \left| 22} \atop {0}} \right.

             T_{a} = \frac{1}{22} [25 t  - 3240e^{[-\frac{t}{45} ]} ] \left | 45} \atop {{0}} \right.

              T_{a} = \frac{1}{22} [25 (22)  - 3240e^{[-\frac{22}{45} ]}   - (- 3240e^{0} )]

            T_{a} = \frac{1}{22} [550  - 1987.12  +  3240]

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8 0
3 years ago
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jeka94

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Perimeter can be found by adding all 4 sides together. Counting the boxes gives you 11 + 11 + 9 + 9. This gives you a perimeter of 40.  The measurement is in units because there is no given unit of measurement such as inches, feet, or meters. Perimeter is not squared like area.

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