What is the range of f(x)?

a.) −3, −2, −1, 0, 1

b.) −2, −1, 0, 1

c.) all real numbers such that −3 < y ≤ 1

d.) all real numbers such that −2 < y ≤ 1

The answers are

* For each family, a graph of the relationship between number of pizzas, x, and number of slices, y, goes through the point (0, 0) and is a straight line.

* If the Wilson family ordered 3 large pizzas from the same restaurant as the Hernandez family, they would have more slices than the Hernandez family after each family cut their pizzas into slices.

Step-by-step explanation:  Given that the Hernandez family has ordered 3 large pizzas, which they cut so that each pizza has the same number of slices, giving them a total of 24 slices.

So, if 'x' represents the number of pizzas ordered and 'y' represents the number of slices cut from the pizzas, then we have

So, y = 8x represents the relationship between the number of slices and number of pizzas. Here, 8 is the constant of proportionality, which is determined easily.

Also,  for the Wilson's family, the equation y = 10x represents the relationship, where x represents the number of pizzas and y represents the number of total slices.

So, both the graph for the relationship for both the families is a straight line and will pass through the origin (0,0), when plot on the coordinate plane. See the attached figure.

Also, if the Wilson family ordered 3 large pizzas, then number of slices

= 10 × 3 = 30>24.

So, number of slices will be more than that of the Hernandez family.

Thus, the correct statements are

* For each family, a graph of the relationship between number of pizzas, x, and number of slices, y, goes through the point (0, 0) and is a straight line.

* If the Wilson family ordered 3 large pizzas from the same restaurant as the Hernandez family, they would have more slices than the Hernandez family after each family cut their pizzas into slices.