Question

Are these correct?

Answer 1

1) Find the value of y for a given value of x, if y varies directly with x.
If y = 39 when x = –117, what is y when x = –132?

My awsner
-3y=x
-3y=132
y=-44


2)
Solve the equation or formula for the indicated variable.
S = 6r³t, for t

MY AWSNER

S=6rt divide by 6r^3
s/6r^3=t

3)
The function f(x) = x². The graph of g(x) is f(x) translated to the right 3 units and down 3 units. What is the function rule for g(x)?

MY AWSNER

y-(-3)=(x-3)^2
y+3=(x-3)^2
y=(x-3)^2-3
g(x)=(x−3)^2−3

4)
A factory can produce two products, x and y, with a profit approximated by P = 14x + 22y – 900. The production of y can exceed x by no more than 100 units. Moreover, production levels are limited by the formula x + 2y ≤ 1,400. What production levels yield maximum profit?

MY AWSER
y <= x+200
x+2y <= 1600

Answer 2

Your 1st answer is almost correct, but you should write it as
\[ y = -\frac{1}{3} x \]
y varies directly with x (the way you wrote it , it says x varies directly with y)
then replace x with -132. notice that you should get a positive y value

Answer 3

oh ok, thanks, are the others correct as well?

Answer 4

for the last question (4), you should sketch the two lines