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Question 21
21 (a) A graph is drawn below: y | | | | | | +----------------- x Explain how you know that y is not directly pro... show full transcript
Step 1
Answer
To determine that y is not directly proportional to x, we can observe the graph provided. If y were directly proportional to x, the line would pass through the origin (0, 0). In this case, the graph does not pass through this point, indicating that y varies with x but not in a directly proportional manner.
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 can use the values given: 68 when r is 20:
Solving for k gives:
Now, substituting r = 25 into the equation:
Thus, when r is 25, q is 85.
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