Suppose p varies directly with d, and p = 3 when d = 5. What is the value of d when p = 12?

Question 3 options:

20

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14

1 answer

The relationship between p and d is stated as p varies directly with d, which means that p is equal to a constant multiplied by d. We can use the given information to find the value of the constant.

According to the given information, when d = 5, p = 3. Let's calculate the constant:

p = k * d, where k is the constant
3 = k * 5
k = 3/5

Now, we can use this value of k to find the value of d when p = 12:

12 = (3/5) * d

To solve for d, we can multiply both sides of the equation by 5/3:

12 * (5/3) = (3/5) * d * (5/3)
20 = d

Therefore, when p = 12, the value of d is 20.