Question

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.

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

Answer 1

B

Explanation:

It is given that,

on a graph, pizzas are on the X-axis and cups of pizza sauce are on the

Y-axis.

And, there are 30 students in the class and each pizza serves 8 students.

Actually, Jullo can chose any number of cups of pizza sauce. The number of sauce cups is not a problem.

But as the cups of pizza sauce are linked with number of pizza in the co-ordinate points A (3, 2), B (4, 2.6), C (4.5, 3), D (6, 4), the problem lies in choosing the correct set.

The number of pizza taken must be sufficient for all the 30 students.

As each pizza serves 8 students,

number of pizzas required for 30 students = = 3.75 pizzas.

Here there are 3 points which are having more than 3.75 pizzas. They are B (4, 2.6), C (4.5, 3), D (6, 4).

Now Jullo has to choose the best point among these 3 to get maximum number of pizza cups.

The point which has more sauce cups for each pizza is the best point.

sauce cups for each pizza =

Point B (4, 2.6) sauce cups for each pizza = = 1.538 sauce cups for each pizza.

Point C (4.5, 3) sauce cups for each pizza = = 1.5 sauce cups for each pizza.

Point D (6, 4) sauce cups for each pizza = = 1.5 sauce cups for each pizza.

Hence, point B (4, 2.6) is the best as it gives 1.538 sauce cups for each pizza.

Answer 2

The answer is B (4, 2.6)

Explanation:

It is given that,

on a graph, pizzas are on the X-axis and cups of pizza sauce are on the

Y-axis.

And, there are 30 students in the class and each pizza serves 8 students.

Actually, Jullo can chose any number of cups of pizza sauce. The number of sauce cups is not a problem.

But as the cups of pizza sauce are linked with number of pizza in the co-ordinate points A (3, 2), B (4, 2.6), C (4.5, 3), D (6, 4), the problem lies in choosing the correct set.

The number of pizza taken must be sufficient for all the 30 students.

As each pizza serves 8 students,

number of pizzas required for 30 students =
`(30)/(8)` = 3.75 pizzas.

Here there are 3 points which are having more than 3.75 pizzas. They are B (4, 2.6), C (4.5, 3), D (6, 4).

Now Jullo has to choose the best point among these 3 to get maximum number of pizza cups.

The point which has more sauce cups for each pizza is the best point.

sauce cups for each pizza =
`(number of pizza)/(number of sauce cups)`

Point B (4, 2.6) sauce cups for each pizza =
`(4)/(2.6)` = 1.538 sauce cups for each pizza.

Point C (4.5, 3) sauce cups for each pizza =
`(4.5)/(3)` = 1.5 sauce cups for each pizza.

Point D (6, 4) sauce cups for each pizza =
`(6)/(4)` = 1.5 sauce cups for each pizza.

Hence, point B (4, 2.6) is the best as it gives 1.538 sauce cups for each pizza.