Question

Deon will choose between two restaurants to purchase pizzas for his party. The first restaurant charges a delivery fee of $2 for the entire purchase and $10 perpizza. The second restaurant charges a delivery fee of $5 for the entire purchase and $9 per pizza.Let x be the number of pizzas purchased.(questions included in photo)

Answer 1

a) We have to write an expression of the total charge for each restaurant.

The first reastaurant has a fixed charge of $2 and then $10 per pizza.

Then, if x is the number of pizzas, we can express the total charge as:

`C_1(x)=2+10x`

The second restaurant has a fee of $5 and charges $9 per pizza, so thetotal charge will be:

`C_2(x)=5+9x`

b) If the total charge is equal for both restaurants, we can write:

`\begin{gathered} C_1(x)=C_2(x) \\ 2+10x=5+9x \end{gathered}`

We can solve it for x as:

`\begin{gathered} 2+10x=5+9x \\ 10x-9x=5-2 \\ x=3 \end{gathered}`

Answer:

a) Total charge for the first restaurant = 2+10x

Total charge for the second restaurant = 5+9x

b) 2+10x = 5+9x