1. 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.

2. 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.

3. y varies inversely with x. if y = 17 and k (the constant of variation) = 76, what is x?

round to the nearest tenth, if necessary.

Step-by-step explanation:

1) y varies inversely with x. If y = 3 and k (the constant of variation) = 33

If y varies inversely with x, then as y increases increases, x reduces and as y reduces, x increases.

y varies inversely with x

Introducing constant of inverse variation, k

y = k/x

If y = 3 and k (the constant of variation) = 33,

x = k / y = 33/3

= 11

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

y = k/x

y = 5.6/4 = 1.4

3) y varies inversely with x. If y = 17 and k (the constant of variation) = 76

y = k /x

x = k /y = 76/17 = 4.4705

= 4.5 to the nearest tenth

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕

ljn

step-by-step explanation: