Question

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 x represents 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? Select two options.

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. ilit​

Answer 1

B AND D for edge

Explanation:

Answer 2

The two correct options 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

Explanation:

The given parameters are;

The equation representing the relationship between the total number of slices of pizzas, y, and the number of pizzas, x, for the families are given as follows;

y = a × x

Where;

a = The number of slices per pizza

• For the Hernandez family, we have;

y = 24, x = 3

Therefore;

24 = a × 3

a = 24/3 = 8 slices per pizza

Which gives the equation of the form, y = 8 × x

For the Wilson family, we have;

y = 10 × x

Therefore, the equation of the total number of slices of pizza for both families when plotted will form a straight line graph of the form, y = m × x + c where the y-intercept, c, for both equations is 0, therefore, both equations pass though the point (0, 0).

• If the Wilson family ordered 3 (three) large pizzas from the same restaurant as the Hernandez family, we have;

The number of pizzas they would have is given as follows;

y = 10 × x = 10 × 3 = 30 which is larger than 24 pizzas obtained by the Hernandez family.