Find an equation of variation for the given situation: y varies jointly as x and the square of z and inversely as w, and y= 27/ 2 when x =2, z=3, and w=8.

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Step-by-step explanation:

When y varies jointly as x and z, the equation is written ...

  y = k·x·z

Here, the joint variation is not with z, but with z². There is also an inverse variation with w, so the entire relation is ...

  y = k·x·z²/w

We want to find the value of k for the given values of the variables. So, we can solve for k to get ...

Then the equation of variation is ...

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i