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.
For the Hernandez family, 3 pizzas were cut into 24 slices. So each pizza was cut into 24/3 = 8 slices. So if there should be an equation representing the relationship between the number of slices, y, and the number of pizzas, x, that would be y = 8x. So option #1 is incorrect.
As for the the Wilson family, if they ordered 3 large pizzas, they would cut them into y = 10(3) = 30 slices. So they would have more slices than the Hernandez family. So option #3 is correct. In addition, the equation tells us that they cut each pizza into 10 slices instead of 8 slices as the Hernandez family’s did. So the Hernandez family’s slices are larger than the Wilson family’s slices. Option #2 is incorrect. As for option #4, the constant of proportionality can be determined as 8 for the Hernandez family. So option#4 is incorrect either.
-5 times -5 is 25 because if you times a negative to a negative you get a positive, so do that to both sides and 25 times 25 is 625....... you may have to simplify, hope this helps :)