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-y varies inversely with x. If y = 3 and k (the constant of variation) = 33, what is x?

Round to the nearest whole number, if necessary.

-y varies inversely with x. When y = 11, x = 5.2. What is the value of k, the constant of inverse variation?

Round to the nearest tenth, if necessary.

-y varies inversely with x, and k (the constant of variation) = 72. What is the value of y when x = 7.8?

Round to the nearest tenth, if necessary.

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

Round to the nearest thousandth, if necessary.

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

Round to the nearest tenth, if necessary.

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

Round to the nearest tenth, if necessary.

-y varies inversely with x. When y = 9.6, x = 12. What is the value of k, the constant of inverse variation?

Round to the nearest tenth, if necessary.

-y varies inversely with x, and k (the constant of variation) = 5.6. What is the value of y when x = 4?

Round to the nearest tenth, if necessary.

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

Part 1) y varies inversely with x. If y = 3 and k (the constant of variation) = 33, what is x?

we have

[tex]y*x=k[/tex]

[tex]y=3[/tex]

[tex]k=33[/tex]

substitute and solve for x

[tex]3*x=33[/tex]

Divide by 3 both sides

[tex]x=33/3[/tex]

[tex]x=11[/tex]

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

[tex]y*x=k[/tex]

[tex]y=11[/tex]

[tex]x=5.2[/tex]

substitute and solve for k

[tex]11*5.2=k[/tex]

[tex]k=57.2[/tex]

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

[tex]y*x=k[/tex]

[tex]x=7.8[/tex]

[tex]k=72[/tex]

substitute and solve for y

[tex]y*7.8=72[/tex]

Divide by 7.8 both sides

[tex]y=72/7.8[/tex]

[tex]y=9.2[/tex]

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

we have

[tex]y*x=k[/tex]

[tex]y=8[/tex]

[tex]k=19[/tex]

substitute and solve for x

[tex]8*x=19[/tex]

Divide by 8 both sides

[tex]x=19/8[/tex]

[tex]x=2.375[/tex]

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

[tex]y*x=k[/tex]

[tex]x=7[/tex]

[tex]k=23[/tex]

substitute and solve for y

[tex]y*7=23[/tex]

Divide by 7 both sides

[tex]y=23/7[/tex]

[tex]y=3.3[/tex]

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

[tex]y*x=k[/tex]

[tex]y=6.7[/tex]

[tex]x=1[/tex]

substitute and solve for k

[tex]6.7*1=k[/tex]

[tex]k=6.7[/tex]

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

[tex]y*x=k[/tex]

[tex]y=9.6[/tex]

[tex]x=12[/tex]

substitute and solve for k

[tex]9.6*12=k[/tex]

[tex]k=115.2[/tex]

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

[tex]y*x=k[/tex]

[tex]x=4[/tex]

[tex]k=5.6[/tex]

substitute and solve for y

[tex]y*4=5.6[/tex]

Divide by 4 both sides

[tex]y=5.6/4[/tex]

[tex]y=1.4[/tex]