Instructions: If y𝑦 varies inversely as x𝑥 and y=2𝑦=2 when x=8𝑥=8, find y𝑦 when x=2𝑥=2. Write the equation using the given information, then use the equation to solve for y𝑦. Use the forward slash (i.e. "/") for all fractions (e.g. -1/2 is the same as −12−12).
Question
Instructions: If y𝑦 varies inversely as x𝑥 and y=2𝑦=2 when x=8𝑥=8, find y𝑦 when x=2𝑥=2. Write the equation using the given information, then use the equation to solve for y𝑦. Use the forward slash (i.e. "/") for all fractions (e.g. -1/2 is the same as −12−12).
Solution
Step 1: Understand the problem The problem states that y varies inversely as x. This means that as x increases, y decreases and vice versa. The relationship can be expressed as y = k/x, where k is the constant of variation.
Step 2: Write the equation using the given information We know that when x = 8, y = 2. We can substitute these values into the equation to find the constant of variation (k). So, 2 = k/8. Solving for k gives us k = 2 * 8 = 16.
Step 3: Use the equation to solve for y Now that we know k = 16, we can substitute this value and the given x value into the equation to find y. So when x = 2, y = 16/2 = 8.
Therefore, when x = 2, y = 8.
Similar Questions
Instructions: y𝑦 varies directly with x𝑥. If y=−4𝑦=−4 when x=2𝑥=2, find y𝑦 when x=−6𝑥=−6. State the equation. Use the forward slash (i.e. "/") for all fractions (e.g. -1/2 is the same as −12−12). Equation: y=𝑦= Solution: y=
Instructions: Assume that y𝑦 varies inversely as x𝑥. If y=8𝑦=8 when x=−2𝑥=−2, find y𝑦 when x=4𝑥=4.y=𝑦= Answer 1 Question 22
Instructions: The variables x𝑥 and y𝑦 vary inversely, and y=7𝑦=7 when x=2𝑥=2. Write an equation that relates x𝑥 and y𝑦 and find y𝑦 when x=−6𝑥=−6. Enter any fractions using the forward slash (i.e. “/”; -1/2 is the same as −12−12). Reduce all fractions.Equation: Answer 1 Question 12Solution: When x=−6𝑥=−6, y=
If y varies inversely as x and y = - 2 when x = - 8, find x when y = 2.
Find 𝒅𝒚𝒅𝒙 at x=2 if y = 𝐭𝐚𝐧−𝟏(𝒙)+𝒆−𝒙𝑺𝒊𝒏𝟐𝒙
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.