Answered

A caterer expects a minimum of 160 but no more than 192 people at a wedding. One fruit tray serves 16 people. The compound inequality represents x, the number of fruit trays the caterer should bring to the wedding.

160 ≤ 16x≤ 192

Which is a possible number of fruit trays the caterer might bring to the wedding?

8
10
14
16



Answer :

Answer:

10

Step-by-step explanation:

Understanding the Inequality

The problem gave us the inequality that represents the word problem,

                                      160 ≤ 16x ≤ 192,

if a fruit tray feeds 16 people and the numbers 160 and 192 are the minimum and maximum number of people at the wedding then x must represent the number of trays.

[tex]\dotfill[/tex]

Solving the Problem

The problem asks us to find an x value that satisfies this inequality.

Knowing that 16 times 10 is 160 we can eliminate 8 as an answer choice because any number less than 10 multiplied by 16 will give a product less than the minimum--16 times 8 is 128.

That leaves 10, 14, and 16.

The product of 14 and 16 is 224, which is above the maximum. This not only eliminates 14 but 16 as well since any number greater than 14 multiplied by 16 will give a product bigger than the maximum--16 times 16 is 256.

Thus, 10 is our final answer!

Other Questions