Question

I need help! Will mark Brainliest for full answer!!!

Answer 1

Answer:

Part 1)  $x=11$

Part 2)  $k=57.2$  

Part 3)  $y=9.2$

Part 4)  $x=2.375$

Part 5) $y=3.3$

Part 6)  $k=6.7$

Part 7)  $k=115.2$

Part 8)  $y=1.4$

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 = 3 and k (the constant of variation) = 33, what is x?

we have

$y*x=k$

$y=3$

$k=33$

substitute and solve for x

$3*x=33$

Divide by 3 both sides

$x=33/3$

$x=11$

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

$y*x=k$

$y=11$

$x=5.2$

substitute and solve for k

$11*5.2=k$

$k=57.2$  

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

$y*x=k$

$x=7.8$

$k=72$

substitute and solve for y

$y*7.8=72$

Divide by 7.8 both sides

$y=72/7.8$

$y=9.2$

Part 4) y varies inversely with x. If y = 8 and k (the constant of variation) = 19, what is x?

we have

$y*x=k$

$y=8$

$k=19$

substitute and solve for x

$8*x=19$

Divide by 8 both sides

$x=19/8$

$x=2.375$

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

$y*x=k$

$x=7$

$k=23$

substitute and solve for y

$y*7=23$

Divide by 7 both sides

$y=23/7$

$y=3.3$

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

$y*x=k$

$y=6.7$

$x=1$

substitute and solve for k

$6.7*1=k$

$k=6.7$

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

$y*x=k$

$y=9.6$

$x=12$

substitute and solve for k

$9.6*12=k$

$k=115.2$

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

$y*x=k$

$x=4$

$k=5.6$

substitute and solve for y

$y*4=5.6$

Divide by 4 both sides

$y=5.6/4$

$y=1.4$