Respuesta :
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
[tex]\frac{4}{12}\frac{gal}{milkshakes}=\frac{x}{30}\frac{gal}{milkshakes}\\\\x=30(4)/12\\\\x=10\ gal[/tex]
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 [tex]y/x=k[/tex] or [tex]y=kx[/tex]
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
[tex]k=y/x[/tex]
substitute the values
[tex]k=12/4=3\ milkshakes/gallon[/tex]
The linear equation is equal to
[tex]y=3x[/tex]
For y=30
substitute in the equation and solve for x
[tex]30=3x[/tex]
Divide by 3 both sides
[tex]x=10\ gal[/tex]
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
