Answer:
The maximum number of sandwiches she can buy is 24.
Step-by-step explanation:
We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:
[tex]cost(x) = 15 + 6.25*x[/tex]
Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:
[tex]cost(x) \leq 170\\15 + 6.25*x \leq 170\\6.25*x \leq 170 - 15\\x \leq \frac{155}{6.25}\\x \leq 24.8[/tex]
Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.
