Question

To find how high school students feel about hot lunches, Adam walks to the nearest high When a=6 and b=22, c=33. If c varies directly with b and inversely with a, which equation models the solution? to participate in the study

Answer 1

Answer:The equation that models the solution will be

33 = 22k / 6

Explanation:

The two types of variation involved in this problem are direct variation and inverse variation.

In direct variation, when one item changes in the positive or negative direction, the other item also changes in the positive or negative direction.

In inverse variation, when one item changes in the positive or negative direction, the other item also changes in the negative or positive direction.

From the information given,

c varies directly with b

If we introduce a direct proportionality constant, k, then,

c = kb

c also varies inversely with a

If we introduce an inverse proportionality constant, k, then,

c = k/b

Therefore, c = kb / a

When a=6 , b=22 and c=33.

The equation that models the solution will be

33 = 22k / 6