Part1
a bottle of juice has 1/2 liter of juice. ted buys 3 packs each containing 12 bottles and jason buys 2 packs each containing 6 bottles.
write an expression that represents how many liters of juice ted and jason buy altogether.
a.1/2×12×3×1/2×6×2
b.1/2×12×3+1/2×6×2
c.1/2×12+1/2×6
d.1/2+12+3+1/2+6+2
part 2
calculate how many liters of juice ted and jason buy altogether.

answer: 12

step-by-step explanation:

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

d

step-by-step explanation:

the two points from this line are   (0,4)   & (2,-2)

we can call

now, lets find the slope (m):

now finding b (the y intercept). this is the point at the y-axis where the line cuts the axis. looking at the graph, it is y = 4. so the point is 4. hence b = 4

the slope-intercept form is given by  

putting the points, we have:

d is the correct answer.