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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)

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 Perpiz class=

Sagot :

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:

[tex]C_1(x)=2+10x[/tex]

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

[tex]C_2(x)=5+9x[/tex]

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

[tex]\begin{gathered} C_1(x)=C_2(x) \\ 2+10x=5+9x \end{gathered}[/tex]

We can solve it for x as:

[tex]\begin{gathered} 2+10x=5+9x \\ 10x-9x=5-2 \\ x=3 \end{gathered}[/tex]

Answer:

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

Total charge for the second restaurant = 5+9x

b) 2+10x = 5+9x

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