f(x) = m x. If f(5) = 15, find m.

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Multiple Choice

f(x) = m x. If f(5) = 15, find m.

Explanation:
In this problem, you use a linear function with no constant term, so the value of f at any x is simply m times x. Use the given f(5) = 15 by substituting x = 5: f(5) = m · 5. Since f(5) is 15, you have 5m = 15. Divide both sides by 5 to get m = 3. This value makes f(5) = 3 · 5 = 15, which matches the given information. If m were 1, f(5) would be 5; if it were 5, f(5) would be 25; if it were 15, f(5) would be 75. Only m = 3 satisfies the condition.

In this problem, you use a linear function with no constant term, so the value of f at any x is simply m times x. Use the given f(5) = 15 by substituting x = 5: f(5) = m · 5. Since f(5) is 15, you have 5m = 15. Divide both sides by 5 to get m = 3. This value makes f(5) = 3 · 5 = 15, which matches the given information. If m were 1, f(5) would be 5; if it were 5, f(5) would be 25; if it were 15, f(5) would be 75. Only m = 3 satisfies the condition.

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