Miguel needs 4 gallons of milk to make 12 milkshakes. how much milk does he need to
make 30 milkshakes? use at least two different methods to support your answer. is this a
proportional relationship?

see the procedure

Step-by-step explanation:

Part 1) using proportion

we know that

Miguel needs 4 gallons of milk to make 12 milkshakes

so

Using proportion

Find out how much milk he needs to make 30 milkshakes

Let

x ----> gallons of milk needed

Miguel needs 10 gallons of milk to make 30 milkshakes

Part 2) we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

This problem represent a proportional relationship

Let

x ----> the number of gallons of milk

y ----> the number of milkshakes

we know that

Miguel needs 4 gallons of milk to make 12 milkshakes

so

For x=4, y=12

Find out the constant of proportionality k

substitute the values

The linear equation is equal to

For y=30

substitute in the equation and solve for x

Divide by 3 both sides

me

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