Question

The equation below represents the cost (y) of a large pizza with different numbers of toppings (x):

y = 0.50x + 13
Daniel paid $17.50 for a large pizza. How many toppings were on Daniel's pizza?
a) 6 toppings
b) 7 toppings
c) 8 toppings
d) 9 toppings

Answer 1

Daniel's pizza with a total cost of $17.50 had 9 toppings on it, based on the equation given for the cost of a large pizza with toppings.

Step-by-step explanation:

To find out how many toppings were on Daniel's large pizza costing $17.50, we need to use the given equation for the cost of a large pizza: y = 0.50x + 13, where y represents the total cost and x represents the number of toppings. Since Daniel paid $17.50 for his pizza, we set y to 17.50 and solve for x:

17.50 = 0.50x + 13

To isolate x, we must subtract 13 from both sides:

17.50 - 13 = 0.50x

4.50 = 0.50x

Now, we divide both sides by 0.50 to find x:

4.50 / 0.50 = x

9 = x

Daniel had 9 toppings on his large pizza.