Q8. - Algebra 1

Question

At Mama Mia Pizza, the price of a large pizza is determined by $P=9+1.5x$ where $x$ represents the number of toppings added to a cheese pizza. Daniel spent 13.50 on a large pizza. How many toppings did he get?

A 0

B 1

C 3

D 5

Step-by-Step Solution

Answer

The Daniel gets 3 toppings added to a cheese pizza.

Step 1. Given information.

The price of the large pizza is determined by $P=9+1.5x$, where x represents the number of the toppings added to the cheese pizza.

Daniel spent $13.50 on the large pizza.

Step 2. To find the value of x.

The price of the large pizza is $P=9+1.5x$.

Daniel spent $\$13.50$ on the large pizza.

Therefore,

$\begin{array}{l}13.50=9+1.5x\\ \Rightarrow 1.5x=13.5-9\\ \Rightarrow 1.5x=4.5\\ \Rightarrow x=\frac{4.5}{1.5}\\ \Rightarrow x=3\end{array}$

Step 3. Conclusion.

Therefore, the value of the x is 3.

Hence, the Daniel gets 3 toppings added to a cheese pizza.