Question

Given that 48 ≤ n ≤ 1296 and 24 ≤ d ≤ 36, what are the largest and smallest values

that the expression n/d can possibly have?
Write your answer smallest ≤ n/d≤ largest.

Answer 1

The largest value of n/d can be 54 and the smallest value can be 1.33.

Step-by-step explanation:

To find the largest and smallest values that the expression n/d can have, we need to consider the given ranges for n and d. The largest value occurs when n is at its maximum value of 1296 and d is at its minimum value of 24, while the smallest value occurs when n is at its minimum value of 48 and d is at its maximum value of 36.

For the largest value, n/d = 1296/24 = 54, and for the smallest value, n/d = 48/36 = 4/3 = 1.33. Therefore, the smallest ≤ n/d ≤ largest is 1.33 ≤ n/d ≤ 54.