Question

1. the volume of dry goods, like apples or peaches, can be measured using bushels, pecks, and quarts. a bushel contains 4 pecks, and a peck contains 8 quarts. what is the relationship between the number of bushels, b, and the number of quarts, q? if you get stuck, try creating a table.

Explanation:

Step1: Find the conversion rate from bushels to pecks

Since 1 bushel contains 4 pecks, if the number of bushels is $b$, the number of pecks $p = 4b$.

Step2: Find the conversion rate from pecks to quarts

Since 1 peck contains 8 quarts, and $p = 4b$, then the number of quarts $q$. Substitute $p$ into the peck - quart conversion. We know that $q=8p$. Replace $p$ with $4b$, so $q = 8\times(4b)$.

Step3: Simplify the expression

$q = 32b$.

Answer:

The relationship between the number of bushels $b$ and the number of quarts $q$ is $q = 32b$.