Iam giving you 50 points to answer this: the cost of one hamburger and two large sodas is $5.40.the cost of three hamburgers and one large soda is $8.70. what is the cost of one hamburger?

2.40

5.40-2.40= 3 (price of 2 sodas)

8.70 - 7.20 = 1.5 (price of 1 soda)

The soda prices match up so a hamburger is 2.40

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