The hernandez family orders 3 large pizzas. they cut the pizzas so that each pizza has the same number of slices, giving them a total of 24 slices. the wilson family also orders several large pizzas from the same pizza restaurant. they also cut the pizzas so that all their pizzas have the same number of slices. for the wilson family, the equation y = 10x represents the relationship, where xrepresents the number of pizzas and y represents the number of total slices. which statements best describe the pizzas bought by the hernandez and wilson families? check all that apply. for the hernandez family, the equation y = 3x represents the relationship between the number of slices and number of pizzas, where x represents the number of pizzas and y represents the number of total slices. 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. the hernandez family’s slices are smaller than the wilson family’s slices. 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. the constant of proportionality is 10 for the wilson family, but cannot be determined for the hernandez family.

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.

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.