If y varies jointly as x and w, and y = 48 when x = 6 and w = 2, find y when x = 1 and w = 5. A. 5 B. 10 C. 15 D. 20

To solve this problem, we need to understand what it means for a variable to vary jointly with two other variables. Specifically, when y varies jointly as x and w , it means we can express this relationship with the equation:
y = k ⋅ x ⋅ w
where k is the constant of proportionality.

Find the constant of proportionality (k):
We are given that y = 48 when x = 6 and w = 2 . Using these values, we can find the constant k :
48 = k ⋅ 6 ⋅ 2
48 = 12 k
Solving for k gives:
k = 12 48 ​ = 4

Using the constant to find the new value of y:
Now that we know k = 4 , we can use this to find y for the new values of x and w : x = 1 and w = 5 .
y = 4 ⋅ 1 ⋅ 5
y = 20


Therefore, when x = 1 and w = 5 , the value of y is 20.
Hence, the correct answer is D. 20.

Answered by RyanHarmon181 | 2025-07-21