Question

Carlos will choose between two restaurants to purchase pizzas for his party. The first restaurant charges a delivery fee of $8 for the entire purchase and S16 perpizza. The second restaurant charges a delivery fee of $2 for the entire purchase and $17 per pizza.Let x be the number of pizzas purchased=х?(a) For each restaurant, write an expression for the total charge ofpurchasing x pizzas (with delivery).Total charge from the first restaurant (in dollars) = 0Total charge from the second restaurant (In dollars) = 2(b) Write an equation to show when the total charge (with delivery)would be the same for each restaurant.

Answer 1

a) If x pizzas are ordered at each of the two restaurants, the total charges at each of the restaurants is then

First Restaurant = (8 + 16x) dollars

Second Restaurant = (2 + 17x) dollars

b) The equation for when the total charge is the same for the two restaurants is

(2 + 17x) = (8 + 16x)

On solving, we see that the two restaurants will have the same total charge when 6 pizzas are order4ed at each of the restaurants.

Step-by-step explanation

The first restaurant has a delivery charge of $8 for the entire purchase and $16 per pizza.

The second restaurant has a delivery charge of $2 for the entire purchase and $17 per pizza.

a) If x pizzas are ordered at each of the two restaurants, the total charges at each of the restaurants is then

First Restaurant = (8 + 16x) dollars

Second Restaurant = (2 + 17x) dollars

b) When the total charge is the same for the two restaurants,

The total charge at second restaurant = The total charge at the first restaurant

(2 + 17x) = (8 + 16x)

17x - 16x = 8 - 2

x = 6

Hope this Helps!!!