Hey - I need the graph to be able to help you. If you're on a computer, and it's a PC, you can use the snipping tool found in the start menu. Snip the graphs, then copy and paste them into a new question. If you're on a mac, command+shift+4 will get you a screenshot. Screenshot the graphs, go to finder, go to desktop, find your screenshot, then copy and paste it into a new question. :)
Let's begin by assigning a letter to represent our unknown:
x = # of toppings to be added to each pizza
Now let's come up with expressions for the cost of each pizza with its toppings:
Palanxio's Pizza: 6.80 + 0.90x
Guido's Pizza: 7.30 + 0.65x
Now let's equate the costs of both pizzas and solve for our unknown (x):
6.80 + 0.90x = 7.30 + 0.65x
0.90x - 0.65x = 7.30 - 6.80
0.25x = 0.50
x = 0.50/0.25
x = 2 toppings to be added to each pizza
Finally, we can verify our answer by plugging it back into our equation and see if both costs are the same:
6.80 + 0.90x = 7.30 + 0.65x [equation]
6.80 + 0.90(2) = 7.30 + 0.65(2) [answer plug-in]
6.80 + 1.80 = 7.30 + 1.30
$8.60 = $8.60 [both costs are the same]
Since both costs are the same, we are confident that our answer is correct.
