2. The school cafeteria orders 4 cartons of regular milk for every Everly carkne comes with 3
3 cartons of chocolate milk.
4
a. Complete the bar diagram to show the ratio.
Regular Milk
Chocolate Milk
b. The school ordered 120 cartons of regular
milk. Divide 120 cartons of regular
milk by
y 니
because there are y
boxes in the top row.
3
1
120
c. Write the value of each box in both rows of
the bar diagram.
Regular Milk
Chocolate Milk
d. How many cartons of chocolate milk did the
school order?
?
30 cartons of chocolate Milk

answerim :

n

step-by-step explanation:

im not sure but my dad knows

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt