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Question 21
A graph is drawn below. Explain how you know that y is not directly proportional to x. (b) q is directly proportional to r. q is 68 when r is 20. Work out q w... show full transcript
Step 1
Answer
The graph does not pass through the origin (0, 0), which indicates that y is not directly proportional to x. In direct proportionality, when x equals zero, y must also be zero. Since the line starts above the origin, this confirms the lack of direct proportionality.
Step 2
Answer
Since q is directly proportional to r, we can express this relationship as:
Where k is the constant of proportionality. To find k, we use the information given:
When r = 20, q = 68:
Solving for k gives:
Now, we can find q when r is 25:
Thus, q when r is 25 is 85.
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