Question

Miguel needs 4 gallons of milk to make 12 milkshakes. How much milk does he need to

Answer 1

Answer:

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

$\frac{4}{12}\frac{gal}{milkshakes}=\frac{x}{30}\frac{gal}{milkshakes}\\\\x=30(4)/12\\\\x=10\ gal$

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 $y/x=k$ or $y=kx$

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

$k=y/x$

substitute the values

$k=12/4=3\ milkshakes/gallon$

The linear equation is equal to

$y=3x$

For y=30

substitute in the equation and solve for x

$30=3x$

Divide by 3 both sides

$x=10\ gal$

Answer 2

Answer:

10 gallons of milkshake is needed to make 30 milkshakes.

Yes it is a proportional relationship

Step-by-step explanation:

We can use proportion to solve this;

Let x be the amount of milk needed to make 30 milkshakes.

4 gallons of milk = 12 milkshakes

         x                 = 30 milkshakes

Cross multiply

12x = 30×4

12x =120

Divide both-side of the equation by 12

12x/12 =120/12

(On the left-hand side of the equation, the 12 at the numerator will cancel-out 12 at the denominator leaving us with just x while on the right-hand side of the equation 120 will be divided by 12)

x=10 gallons

Therefore , 10 gallons of milkshake is needed to make 30 milkshakes