Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Part 5)
Part 6)
Part 7)
Part 8)
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form or
Part 1) y varies inversely with x. If y = 3 and k (the constant of variation) = 33, what is x?
we have
substitute and solve for x
Divide by 3 both sides
Part 2) y varies inversely with x. When y = 11, x = 5.2. What is the value of k, the constant of inverse variation?
we have
substitute and solve for k
Part 3) y varies inversely with x, and k (the constant of variation) = 72. What is the value of y when x = 7.8?
we have
substitute and solve for y
Divide by 7.8 both sides
Part 4) y varies inversely with x. If y = 8 and k (the constant of variation) = 19, what is x?
we have
substitute and solve for x
Divide by 8 both sides
Part 5) y varies inversely with x, and k (the constant of variation) = 23. What is the value of y when x = 7?
we have
substitute and solve for y
Divide by 7 both sides
Part 6) y varies inversely with x. When y = 6.7, x = 1. What is the value of k, the constant of inverse variation?
we have
substitute and solve for k
Part 7) y varies inversely with x. When y = 9.6, x = 12. What is the value of k, the constant of inverse variation?
we have
substitute and solve for k
Part 8) y varies inversely with x, and k (the constant of variation) = 5.6. What is the value of y when x = 4?
we have
substitute and solve for y
Divide by 4 both sides