Question

Ms. Jones is ordering pizzas for the school dance. To keep things simple, she plans on only ordering two types, cheese and pepperoni. Each cheese pizza costs $10 and each pepperoni pizza costs $13. The number of cheese pizzas should be more than twice the number of pepperoni pizzas. The school dance budget will allow for no more than $200 to pay for the pizzas. This situation can be modeled by the following system of inequalities.
10x + 13y < 200
x > 2y

A. The system represents the minimum amount that Ms. Jones can spend on pepperoni pizzas, x, and cheese pizzas, y, and the relationship between the number of cheese pizzas and pepperoni pizzas.



B. The system represents the minimum amount that Ms. Jones can spend on cheese pizzas, x, and pepperoni pizzas, y, and the relationship between the number of cheese pizzas and pepperoni pizzas.



C. The system represents the maximum amount that Ms. Jones can spend on pepperoni pizzas, x, and cheese pizzas, y, and the relationship between the number of cheese pizzas and pepperoni pizzas.



D. The system represents the maximum amount that Ms. Jones can spend on cheese pizzas, x, and pepperoni pizzas, y, and the relationship between the number of cheese pizzas and pepperoni pizzas.

Answer 1

Answer:

Option C

Step-by-step explanation:

Given that Ms. Jones is ordering pizzas for the school dance. To keep things simple, she plans on only ordering two types, cheese and pepperoni. Each cheese pizza costs $10 and each pepperoni pizza costs $13. The number of cheese pizzas should be more than twice the number of pepperoni pizzas.

The constraints in inequality form are

10x+13y<200 and x>2y

The first equation represents the maximum amount that Mr. jones can spend on pepperoni pizzas, x, and cheese pizzas, y.

The second equation represents the relationship between the number of cheese pizzas and pepperoni pizzas.

Hence we find that option C is the correct answer.

Answer 2

Not 100% sure but i think it is b