0Answer:
6.25S + 10.50L ≤ 70Step-by-step explanation:
Let S be the number of small pizzas and L be the number of large pizzas that Kaleb buys.
The cost of each small pizza is $6.25 and the cost of each large pizza is $10.50. So, the total cost of S small pizzas and L large pizzas will be:
Total Cost = (6.25S) + (10.50L)
Kaleb must buy at least 4 pizzas. So, the total number of pizzas must be at least 4.
Total Pizzas = S + L
Now, we can write the system of inequalities as:
Total Cost ≤ $70
Total Pizzas ≥ 4
S, L ≥ 0 (since we can't have negative pizzas)
Substituting the expressions for Total Cost and Total Pizzas in terms of S and L, we get:
(6.25S) + (10.50L) ≤ 70
S + L ≥ 4
S, L ≥ 0
Therefore, the system of inequalities representing this situation is:
6.25S + 10.50L ≤ 70
S + L ≥ 4
S, L ≥ 0
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