Respuesta :
Answer
Find out the how many pizzas are delivered to a customer who pays $80 .
To prove
As given
A restaurant offers delivery for their pizzas.
The total cost is a delivery fee added to the price of the pizzas.
One customer pay $25 to have 2 pizzas delivered.
[tex]Let\ us\assume\ cost\ of\ the\ one\ customer\ pay = x_{1} = 25[/tex]
[tex]Let\ us\assume\ number\ of\ pizza = y_{1} = 2[/tex]
Another customer pays $58 for 5 pizzas.
[tex]Let\ us\assume\ cost\ of\ the\ second\ customer\ pay = x_{2} = 58[/tex]
[tex]Let\ us\assume\ number\ of\ pizza = y_{2} = 5[/tex]
Thus by using the slope formula
[tex]m =\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
Putting the value in the formula
[tex]m = \frac{5 - 2}{58 - 25}[/tex]
[tex]m = \frac{3}{33}[/tex]
Simplify the above
[tex]m = \frac{1}{11}[/tex]
This represented one pizza cost is $11.
Thus 2 pizza cost = $11 × 2
= $22
Thus
Delivery price = Total cost of 2 pizza including delivery fee - Cost of 2 pizza
= $25 - $22
= $3
Thus 5 pizza cost = $11 × 5
= $55
Thus
Delivery price = Total cost of 5 pizza including delivery fee - Cost of 5 pizza
= $58 - $55
= $3
Therefore the delivery charge is $3.
Now calculate the number of pizza for the customer who pays $80.
Cost of the pizza = Total cost of the pizza including delivery charges - Delivery charges
= $80 - $3
= $ 77
Let us assume that the number of pizza for the customer who pays $80 = x
Cost of one pizza = $11
Than the equation becomes
11 × x = 77
[tex]x = \frac{77}{11}[/tex]
x = 7
Therefore the number of pizza are 7 delivered to a customer who pays $80 .
Answer:
Step-by-step explanation:
It is not stated, but implied that all pizzas cost the same. Therefore:
Let d = delivery fee.
Let p = cost of the pizza.
(Now, let's create an equation)
2p + d = 25
5p + d = 58 (We need to find out the values for "p" and "d." Let's find the
value for "p" by subtracting "d" and the other terms.)
2p + d = 25
- 5p + d = 58
-3p = -33 (divide both sides by -3 to find the value of "p.")
-3p = - 33
-3 -3
p = 11 (The cost of one pizza is $11.00. Now, let's substitute the
"p" for 11 into the first equation. The goal is to find the value for "d.")
2(11) + d = 25
22 + d = 25 (We know that 22 + 3 = 25.)
d = 3
The delivery fee is $3.00.
The cost of the pizza is $11.00.
How many pizzas are delivered to a customer who pays $80.00?
(Let's substitute the numbers into the new equation.)
11p + 3 = 80 (Subtract 3 on both sides. We are finding the value for "p.")
11p = 77 (Divide 11 on both sides.)
p = 7
Therefore, 7 pizzas are delivered to a person who paid $80.00.
