Layla wants to buy fish, chicken or some of each. The fish cost $4 per pound and the chicken cost $3 per pound. She will spend at least $11 no more that $15. What is the system of inequalities to model this is situation
If there are f lbs of fish and c lbs of chicken, then
11 <= 4f+3c <= 15
well, I guess you also have to add
f >= 0
c >= 0
To model this situation, we can use two inequalities:
Let's use the variables "f" and "c" to represent the pounds of fish and chicken, respectively.
1. Cost Inequality: Since the fish cost $4 per pound and the chicken cost $3 per pound, the total cost "T" can be represented as:
4f + 3c ≤ 15
This inequality ensures that the total cost of fish and chicken combined does not exceed $15.
2. Minimum Spending Inequality: Layla wants to spend at least $11, so we can represent this as:
4f + 3c ≥ 11
This inequality ensures that the total cost of fish and chicken combined is at least $11.
Therefore, the system of inequalities to model this situation is:
4f + 3c ≤ 15
4f + 3c ≥ 11