asked 221k views
5 votes
Y is inversly proportional to x^(2). When x =4, y=7.5. Find y when x = 5.

asked
User Mierzej
by
8.1k points

1 Answer

6 votes

Final answer:

Given the inverse proportionality condition when x=4, y=7.5, we find the constant factor, k=120. Then, substituting x=5 into the equation, we determine that y equals 4.8.

Step-by-step explanation:

The concept here is inverse proportionality, meaning the relationship between x and y is such that they multiply to give a constant value.

This is represented in the equation y = k/(x^2), where k is the constant. As we know that when x=4, y=7.5, we get k = y * x^2 = 7.5 * 4^2 = 120. When x = 5, we substitute these values into the equation to get y = 120/(5^2) = 120/25 = 4.8.

Learn more about Inverse Proportionality

answered
User David Sigley
by
7.3k points
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.