Given progress = k × years, and progress is 18 at year 3, what is the constant of proportionality k?

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Multiple Choice

Given progress = k × years, and progress is 18 at year 3, what is the constant of proportionality k?

Explanation:
When a quantity is proportional to time in the form progress = k × years, the constant k is the amount of progress per year. Solve for k using the given values: k = progress ÷ years = 18 ÷ 3 = 6. So the constant of proportionality is 6 (progress per year). Quick check: with k = 6, year 3 gives 6 × 3 = 18, which matches. The other values would give 12, 15, or 21 for year 3, which don’t match 18.

When a quantity is proportional to time in the form progress = k × years, the constant k is the amount of progress per year. Solve for k using the given values: k = progress ÷ years = 18 ÷ 3 = 6. So the constant of proportionality is 6 (progress per year). Quick check: with k = 6, year 3 gives 6 × 3 = 18, which matches. The other values would give 12, 15, or 21 for year 3, which don’t match 18.

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