Question

Graph the quadratic variation if g(x) varies directly with x^2, and g(x) = 75 when x = 5
A. http://static.k12.com/eli/ecollege/594/1_29488/2_31294_11_29499/4eb7f5f3fde51b442c23addd7bd6627232f50e99/media/fc8f06f54d86515440b8c2263998499674495d8a/mediaasset_243048_1.gif

B.
http://static.k12.com/eli/ecollege/594/1_29488/2_31294_11_29499/4eb7f5f3fde51b442c23addd7bd6627232f50e99/media/3380e5144abc9133dbd9f908777aa73de9d4949b/mediaasset_243049_1.gif

C.
http://static.k12.com/eli/ecollege/594/1_29488/2_31294_11_29499/4eb7f5f3fde51b442c23addd7bd6627232f50e99/media/1b84f2aa3c1603cb4c4b267a5

Answer 1

D.
http://static.k12.com/eli/ecollege/594/1_29488/2_31294_11_29499/4eb7f5f3fde51b442c23addd7bd6627232f50e99/media/24fc56ac8aa38a152bc4d59bab56973759d0c626/mediaasset_243051_1.gif

Answer 2

Since \(g(x)\) varies directly with \(x^2\), they have a constant of variation. Let's say that is \(k\)\[g(x) = kx^2\]Now, we know that \(g(5) = 75\). So, \(g(5) = 3 \times 5^2\). Hence, \(k = 3\).

Answer 3

Your quadratic equation is \(g(x) = 3x^2\)