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1 answer:
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Answer:
a. See explanation for table
b. The 7th hour
Step-by-step explanation:
Given
Ski Resort
hourly
Mt. Winterpark
hourly
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
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
When
Ski Resort:
Mt. Winterpark:
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
Given:
The statement is "Five times the difference of the cube of y and the square of x".
To find:
The algebraic expression for the given statement.
Solution:
We know that,
Cube = Power 3
Square = Power 2
Difference = Minus (-)
Times = Multiplication (×)
Now,
Cube of y =
Square of x =
Difference of the cube of y and the square of x =
Five times the difference of the cube of y and the square of x is:
Required expression =
Therefore, the correct option is C. The required algebraic expression for the given statement is .