Word Problems - Equations

Question

For the following exercises, write an equation describing the relationship of the given variables. Then use the given information to find the unknown value.

y varies jointly with the fourth root of a and the square of b and inversely with the cube of c, when a=81 and b=7 and c=3 , y=49.

Answer 1

If something varies with something else, then we also say it is "proportional to". It could also be inversely proportional, meaning that it varies with the inverse of a variable or expression

My translation of your stated relationship:

y = (a^1/4) * (b²) / c³

Note that a^1/4 is a typical way of expressing " the 4th root of a"