Question

a glass of milk is poured from a fresh 1-gallon jug. the following data table shows how much milk is left in the jug after a specific number of glasses are poured. find the missing values in the table using inductive reasoning. (hint: a full 1-gallon jug has 128 ounces of milk in it.)

\\(\

$$\begin{array}{|c|c|}\\hline \\text{glasses (\\#)} & \\text{milk remaining (ounces)} \\\\\\hline 1 & 112 \\\\\\hline 2 & 96 \\\\\\hline 3 & \\text{(a)} \\\\\\hline 4 & \\text{(b)} \\\\\\hline \\end{array}$$

\\)

\\(a = \\)
\\(b = \\)

Explanation:

Analyze the initial state

Using the Constant Rate knowledge point

$$
LATEXBLOCK0
$$

Determine the pattern

Using the Constant Rate knowledge point

$$
LATEXBLOCK1
$$

Calculate the value of A

Using the Constant Rate knowledge point

$$
LATEXBLOCK2
$$

Calculate the value of B

Using the Constant Rate knowledge point

$$
LATEXBLOCK3
$$

Answer:

A glass of milk is poured from a fresh 1-gallon jug. The following data table shows how much milk is left in the jug after a specific number of glasses are poured. Find the missing values in the table using inductive reasoning. (Hint: A full 1-gallon jug has 128 ounces of milk in it.)

Glasses (#) | Milk Remaining (ounces)
--- | ---
1 | 112
2 | 96
3 | (A)
4 | (B)

\(A =\) <blank>80</blank>

\(B =\) <blank>64</blank>