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Allushta [10]
2 years ago
7

The principal of a school is hosting a small luncheon for her staff. She plans to prepare two sandwiches for each person. Some s

taff members offer to bring salads and beverages.
The principal has a budget of $225 and expects at least 16 people to attend. Sandwiches cost $3 each.



Select all of the equations and inequalities that could represent the constraints in the situation, where n is the number of people attending and s is the number of sandwiches.



Copied for free from openupresources.org


Select all that apply:
A. n ≥ 16
B. n ≥ 32
C. s < 32
D. s = 2n
E. 3n ≤ 225
F. 3s ≤ 225
Mathematics
1 answer:
Otrada [13]2 years ago
8 0

The constraints in the question are given by the definition of the variables;

The constraints are represented by the following equation and inequalities.

  • A. n ≥ 16
  • D. s = 2·n
  • F. 3s ≤ 225

Reasons:

The budget of the principal = $225

Number of people expected = 16 people

Number of sandwich per person = 2

Cost of each sandwich = $3

Required:

To select the inequalities that represent the situation's constraint

Solution:

The variable that represent the number of people attending = n

The number of sandwiches = s

From the question , we have;

The number of sandwich per attendee = 2 sandwiches

The total number of sandwich, <em>s</em>, for <em>n</em> attendees = 2·n

Therefore, we have;

<u>s = 2·n</u>

<u />

The number of people attending is at least 16, therefore;

<u>n ≥ 16</u>

<u />

The cost of the <em>s</em> sandwich = $3 × s

The total cost should be less than or equal to given budget of $225,

therefore;

<u>3s ≤ 225</u>

<u />

The equations and inequalities that could represent the constraints are;

A. n ≥ 16, D. s = 2·n, and F. 3s ≤ 225

Learn more here:

brainly.com/question/11961809

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