Question

1. a farmer sells an average of 15\frac{3}{5} bushels of corn each day. what integer represents the change in bushels of corn in his inventory after 6 days?

Explanation:

Step1: Convert the mixed - number to an improper fraction

$15\frac{3}{5}=\frac{15\times5 + 3}{5}=\frac{75+3}{5}=\frac{78}{5}$

Step2: Calculate the total change in 6 days

The change in 6 days is the amount sold per day times 6. So, $\frac{78}{5}\times6=\frac{78\times6}{5}=\frac{468}{5} = 93.6$. But we want an integer - approximation. Since we are dealing with the amount of corn sold, and we can't have a fraction of a bushel in the context of an integer answer for the change in inventory, we consider the whole - number part of the result. The amount of corn sold in 6 days is 93.6 bushels, and the integer representing the change in inventory (a decrease) is 94 (rounding up because if we sell 93.6 bushels, the inventory has decreased by 94 bushels when considering whole bushels).

Answer:

94