Answer:
<u>The correct answer is Graph A. It's the only graph with the right values for (x, y) within the Cartesian plane. </u>
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Amount that Charlie’s pizza charges for a medium cheese pizza = US$ 12
Amount that Charlie’s pizza charges for each additional topping = US$ 2
Cost of a medium pizza (y) with (x) toppings is represented by the equation:
y = 12 + 2x
2. Let's find the values for the equation:
When no toppings are added:
y = 12 + 2 * 0 = 12 + 0 = 12
When 1 topping is added:
y = 12 + 2 * 1 = 12 + 2 = 14
When 2 toppings are added:
y = 12 + 2 * 2 = 12 + 4 = 16
When 3 toppings are added:
y = 12 + 2 * 3 = 12 + 6 = 18
When 4 toppings are added:
y = 12 + 2 * 4 = 12 + 8 = 20
As we can see, the graph starts with the point (0, 12) and continues with (1, 14), (2, 16), (3, 18), (4, 20).
Graph B starts with the point (0, 4) and graph C with the point (0,6). They're incorrect. And graph D starts with (0, 12) but continues with (1, 13), (2, 14) (3, 15) and (4, 16), so this graph is also incorrect.
<u>The only graph with the right values for the Cartesian plane is Graph A.</u>
