SOLUTION: When x = 2 and y = 3, z = 42. Write the function that models each of the following relationships.
1. z varies inversely with x and directly with y. (1 point)
2. z varies
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Question 275518: When x = 2 and y = 3, z = 42. Write the function that models each of the following relationships.
1. z varies inversely with x and directly with y. (1 point)
2. z varies jointly with x and y (1 point)
3. z varies directly with x and inversely with the square of y (1 point)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
your problem states:
When x = 2 and y = 3, z = 42. Write the function that models each of the following relationships.
----------------------------------------
1. z varies inversely with x and directly with y. (1 point)
formula would be z = ky/x
substitute:
x = 2
y = 3
z = 42
formula becomes:
42 = k*3/2 **************************************************
solve for k to get:
k = 2*42/3 = 28
--------------------------------------------
2. z varies jointly with x and y (1 point)
formula is z = kxy
substitute:
x = 2
y = 3
z = 42
formula becomes:
42 = k*2*3 *******************************************************
solve for k to get:
k = 42/6 = 7
-----------------------------------
3. z varies directly with x and inversely with the square of y (1 point)
formula is:
z = kx/y^2
substitute:
x = 2
y = 3
z = 42
formula becomes:
42 = k*2/(3^2) = k*2/9 ************************************************
solve for k to get:
k = 42*9/2 = 189
they did not ask you to solve the equations.
they only asked you to write the functions.
functions with the ****************************************** next to them should be your answers.
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