Using the concept of variation, there is an inverse relationship between the <em>number</em><em> </em><em>of</em><em> </em><em>attendees</em><em> </em>and the <em>contribution</em><em> </em><em>made</em><em> </em><em>by</em><em> </em><em>each</em><em> </em><em>attendee</em><em>.</em><em> </em>
<u>Since the amount of chocolate decreases as the number of attendees increase; </u>
We use inverse variation to model the scenario :
- y = k/x ; <em>k</em><em> </em><em>=</em><em> </em><em>constant</em><em> </em><em>of</em><em> </em><em>proportionality</em><em> </em>
<u>Taking</u><u> </u><u>any</u><u> </u><u>pair</u><u> </u><u>of</u><u> </u><u>points</u><u> </u><u>:</u>
3000 = k/8
k = 3000 × 8
k = 24000
- Hence, the constant of variation is 24000
- The variation expression is y = 24000/x
- This means that the total cost of organising the gettogether is to be shared equally among the attendees
Therefore, the variation statement is "<em>the</em><em> </em><em>amount</em><em> </em><em>paid</em><em> </em><em>per</em><em> </em><em>attendee</em><em> </em><em>is</em><em> </em><em>inversely</em><em> </em><em>proportional</em><em> </em><em>to the</em><em> </em><em>number</em><em> </em><em>of</em><em> </em><em>people</em><em> </em><em>in</em><em> </em><em>attendance</em><em>.</em><em> </em>
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Answer: If the quotient of two numbers is negative, then one of the numbers must be negative.
Step-by-step explanation:
When you divide a negative number by a negative number, then the quotient is positive.
When you divide a positive number by a positive number, then the quotient is positive.
When you divide a negative number by a positive number, then the quotient is negative.
When you divide a positive number by a negative number, then the quotient is negative.
Therefore, we can make the following conclusion: If the quotient of two numbers is negative, then one of the numbers must be negative.
Answer:
The function is;
f(x) = $3,250
Step-by-step explanation:
The fixed amount the consultant receives each month = $3,250
The number of hours the consultant works each month = x
Let f(x) represent the function of the total amount the consultant receives each month
Therefore;
The function f(x) = The total amount the consultant receives each month = The fixed amount the consultant receives = $3,250
∴ f(x) = $3,250.
The function 'f' which represents the total amount the consultant receives each month is f(x) = $3,250 (Given that the consultant receives a constant amount each month).
The answer is 8.99 in decimal form
In exact for it In (1.838)/ In (1.07)
I hope one of them helps