Assume that y𝑦 varies directly with x𝑥. If y=4𝑦=4 when x=2𝑥=2, find y𝑦 when x=16𝑥=16. y=𝑦= Answer 1 Question 20
Question
Assume that y varies directly with x.
If y = 4 when x = 2, find y when x = 16.
y =
Answer 1
Question 20
Solution
In direct variation, the formula is y = kx, where k is the constant of variation.
Step 1: Find the constant of variation (k) using the given values of x and y. We know that y = 4 when x = 2. So, we substitute these values into the formula:
4 = k * 2
To solve for k, we divide both sides by 2:
k = 4 / 2 = 2
Step 2: Now that we know k = 2, we can find y when x = 16. We substitute these values into the formula:
y = 2 * 16
y = 32
So, when x = 16, y = 32.
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