A varies directly as B and C. when B= 4,C=9 and A= 6 (a) find the formula connecting A B and C (b) find A when B= 3 and C = 10 (c) find C if A = 20 and B= 15
(a) The formula connecting A, B, and C is A = k * B * C, where k is the constant of variation.
(b) To find A when B = 3 and C = 10, substitute these values into the formula:
A = k * B * C
A = k * 3 * 10
A = 30k
We don't have the value of k, so we can't find the specific value of A.
(c) To find C when A = 20 and B = 15, rearrange the formula:
A = k * B * C
20 = k * 15 * C
Divide both sides by 15:
20/15 = k * C
4/3 = k * C
Divide both sides by k:
(4/3) / k = C
We don't have the value of k, so we can't find the specific value of C.