To celebrate ratios, Mrs. Johnson’s class will make pizzas. Julio is in charge of bringing in the sauce. There are 30 students in his class and each pizza serves 8.

Pizza Sauce Recipe
Pizzas
Pizza Sauce
1
One-third cup
2

3

4


On a coordinate plane, a graph titled Pizza Recipe has Pizzas on the x-axis and Cups of Pizza Sauce on the y-axis. Point A is (3, 2), point B is (4, 2.6), point C is (4.5, 3), point D is (6, 4).

Which point should Julio use to determine the amount of pizza sauce he needs to bring?
A
B
C
D

1 answer

To determine how much pizza sauce Julio needs to bring, we first need to figure out how many pizzas he will be making for 30 students, given that each pizza serves 8 students.

To find the total number of pizzas required: \[ \text{Total pizzas} = \frac{\text{Total students}}{\text{Pizzas per pizza}} = \frac{30}{8} = 3.75 \] Since Julio cannot make a fraction of a pizza, he will need to round up to 4 pizzas to ensure there is enough pizza for all students.

Next, we will check the pizza sauce requirements for 4 pizzas based on the provided recipe details.

According to the Pizza Sauce Recipe:

  • For 1 pizza, you need 1/3 cup of sauce.
  • For 2 pizzas, you would need 2/3 cup of sauce.
  • For 3 pizzas, you would need 1 cup of sauce.
  • For 4 pizzas, you would need 4/3 cups or approximately 1.33 cups of sauce.

Now, looking at the graph with the points given:

  • Point A (3, 2) suggests 3 pizzas need 2 cups of sauce.
  • Point B (4, 2.6) suggests 4 pizzas need 2.6 cups of sauce.
  • Point C (4.5, 3) suggests 4.5 pizzas need 3 cups of sauce.
  • Point D (6, 4) suggests 6 pizzas need 4 cups of sauce.

For 4 pizzas, the most accurate point would be point B (4, 2.6), indicating that if he is making 4 pizzas, he should prepare about 2.6 cups of sauce.

Thus, the point Julio should use to determine the amount of pizza sauce he needs to bring is: B (4, 2.6).