Answer:
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
Step-by-step 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.
