Direct variation is represented by the equation y = k × x and inverse variation is represented by y = k/x
Table 1:
y = k × x
30 = k × 5
30 = 5k
k = 30/5
k = 6
So,
<em>y = 30 </em>
<em>y = 30 k = 6</em>
<em>y = 30 k = 6x = 5</em>
<em>y = 30 k = 6x = 5Equation: y = 6x</em>
y = k × x
y = 10 × 8
y = 80
So,
<em>y = 80 </em>
<em>y = 80 k = 10</em>
<em>y = 80 k = 10x = 8</em>
<em>y = 80 k = 10x = 8Equation: y = 10x</em>
y = 3x
18 = 3x
x = 18/3
x = 6
So,
<em>y = 18</em>
<em>y = 18k = 3</em>
<em>y = 18k = 3x = 6</em>
<em>y = 18k = 3x = 6Equation: y = 3x</em>
y = 2x²
72 = 2x²
x² = 72/2
x² = 36
x = √36
x = 6
So,
<em>y = 72</em>
<em>y = 72k = 2</em>
<em>y = 72k = 2x = 6</em>
<em>y = 72k = 2x = 6Equation: y = 2x²</em>
Table 2:
y = k/x
5 = k/6
5 × 6 = k
30 = k
So,
<em>y = 5</em>
<em>y = 5k = 30</em>
<em>y = 5k = 30x = 6</em>
<em>y = 5k = 30x = 6Equation: y = 30/x</em>
y = k/x
y = 36/4
y = 9
So,
<em>y = 9</em>
<em>y = 9k = 36</em>
<em>y = 9k = 36x = 4</em>
<em>y = 9k = 36x = 4Equation: y = 36/x</em>
y = 60/x
20 = 60/x
20x = 60
x = 60/20
x = 3
So,
<em>y = 20</em>
<em>y = 20k = 60</em>
<em>y = 20k = 60x = 3</em>
<em>y = 20k = 60x = 3Equation: y = 60/x</em>
y = 24/x
y = 24/12
y = 2
So,
<em>y = 2</em>
<em>y = 2k = 24</em>
<em>y = 2k = 24x = 12</em>
<em>y = 2k = 24x = 12Equation: y = 24/x</em>
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Answer:
hope it helps.
<h2>stay safe healthy and happy...</h2>
Answer:
8 children and 32 adults
is the only possible answer
Step-by-step explanation:have a good day
Given the question "six people went into the woods to look for truffles. On average they collected 7 truffles per person. The average of the last four people to come back was 8 truffles per person. In fact the fourth person to come backk had 11 treuffles in is basket. How many truffles did the last three people collect altogether?"
Since the average truffles collected by the six people is 7, then the total truffles collected by the six people is 6 x 7 = 42 truffles.
Since the last four people that came back collected an average of 8 truffles, then the total number of truffles collected by the last four people that came back is 4 x 8 = 32 truffles.
Given that the fourth person collected 11 truffles, therefore, <span>the last three people collected a total of 32 - 11 = 21 truffles.</span>
Answer:
440 pounds
Step-by-step explanation:
The ratio of the total weight to the weight of apples is ...
(4 + 3 + 4) : 4 = 11/4
So, the total weight will be ...
total weight = (total weight)/(apple weight) × (apple weight) = (11/4)×(160 lb)
total weight = 440 lb
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<em>Comment on the problem</em>
The problem doesn't say what the ratio is. We have to assume it is the ratio of weights. (It could be the ratios by volume, sugar content, cost, or any of a number of other factors.)