Question

-y varies inversely with x. If y = 8 and k (the constant of variation) = 19, what is x?

Answer 1

Answer:

Part 1) $x=2.375$

Part 2) $y=3.3$

Part 3) $k=6.7$

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 $y*x=k$ or $y=k/x$

Part 1) y varies inversely with x. If y = 8 and k (the constant of variation) = 19, what is x?

we know that

$y*x=k$

substitute the given values and solve for x

$8*x=19$

$x=19/8$

$x=2.375$

Part 2) y varies inversely with x, and k (the constant of variation) = 23. What is the value of y when x = 7?

we know that

$y*x=k$

substitute the given values and solve for y

$y*7=23$

$y=23/7$

$y=3.3$

Part 3) y varies inversely with x. When y = 6.7, x = 1. What is the value of k, the constant of inverse variation?

we know that

$y*x=k$

substitute the given values and solve for k

$6.7*1=k$

$k=6.7$