The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a

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3 months ago

10

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

Mathematics

2 answers:

Inessa [12.5K] · Answer 1 · 2026-02-22T04:07:07+03:00

Inessa [12.5K]3 months ago

8 0

The correct options are B and D.

lawyer [12.5K] · Answer 2 · 2026-02-22T04:06:12+03:00

The accurate selections are: 1. For both families, the graph representing the connection between the number of pizzas (x) and the amount of slices (y) intersects at the origin (0, 0) and forms a straight line. 2. If the Wilson family orders 3 large pizzas from the same pizza shop as the Hernandez family, they will have a greater number of slices than the Hernandez family once the pizzas are sliced. The equations for the relationships between total slices (y) and pizzas ordered (x) are as follows: y = a × x, where 'a' indicates slices per pizza. For the Hernandez family, we have y = 24 when x = 3, resulting in a = 24/3 = 8 slices per pizza, producing the equation y = 8 × x. For the Wilson family, the relationship is represented by y = 10 × x. When both families’ equations are plotted, the result is straight-line graphs with a y-intercept of 0, meaning they pass through (0, 0). Thus, if the Wilsons order 3 large pizzas, they will have y = 10 × 3 = 30 slices, exceeding the Hernandez family's 24 slices.