Emely wonders how much water it would take to fill her cup. She drops her pencil in her cup and notices that it fits diagonally. (See the diagram.) The pencil is 29cm long and the cup is 21cm tall. How much water can the cup hold? Explain your reasoning

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step-by-step explanation:

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3