If x doubles when y = k/x, what happens to y?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $25.99Unlock all

Prepare for the Praxis Middle School Mathematics Exam with quizzes. Study with flashcards and multiple choice questions. Each question provides hints and detailed explanations. Ensure success on your test!

Multiple Choice

If x doubles when y = k/x, what happens to y?

Explanation:
When y depends on x by being y = k/x, y is inversely proportional to x: as x gets larger, y gets smaller. If x doubles, substitute 2x for x in the expression: y becomes k/(2x), which is (1/2)(k/x). That means the original y is halved. For example, with k = 6 and x = 3, y = 2; if x increases to 6, y becomes 1, which is half of 2. So, y halves.

When y depends on x by being y = k/x, y is inversely proportional to x: as x gets larger, y gets smaller. If x doubles, substitute 2x for x in the expression: y becomes k/(2x), which is (1/2)(k/x). That means the original y is halved. For example, with k = 6 and x = 3, y = 2; if x increases to 6, y becomes 1, which is half of 2. So, y halves.

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy