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Bombinors' Pizza is offering $56 per shift and $2.50 in commission for each pizza delivered.Little Squeezer's showed Tony a table of salaries.pizzas 0 2 4 10Salary 48 54 60 78Pizza tent has given Tony his pay options in the following function.S represents Tony's salary, and P represents the number of Pizzas he delivers.S=2.75p+52Papa Ron's made their offer in the form of this graph.Which company pays the best pay per shift?Bambinoes pizza,little squeezer's,Pizza tent or papa ron'swhich company pays the most per Pizza? Bambinoes pizza,little squeezer's,Pizza tent or papa ron'sIf Tony is going to deliver at least 20 pizzas every night , which company should he work for?Bambinoes pizza,little squeezer's,Pizza tent or papa ron's

Bombinors' Pizza is offering $56 per shift and $2.50 in commission for each pizza-example-1
User Thomasine
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1 Answer

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The payment that Tony will receive in any of these restaurants can be represented by means of a linear equation of the form:

s = m*p+b

Where s is the salary, p is the number of pizzas that he delivers, m is the commission for each pizza delivered and b is the pay per shift.

Let's take the information given for each restaurant:

Bombinors' Pizza

From the statement, we know that this restaurant pays $56 per shift and $2.50 in commission for each pizza delivered, then:

b = $56

m=$2.5

Little Squeezer's

In this case, we can use the data in the table to find b and m, like this:

taking the pair of values (0,48), we get:

s(0)=m*0+b

48=m*0+b

58=0+b

b=$48

Now, by taking the pair of values (2,54)

s(2)=54=m*2+48

54-48=m*2

6=m*2

m=6/2=3

m=$3

Pizza tent

This restaurant represents the payments by means of the formula:

S=2.75p+52

comparing this equation with the general model (s = m*p+b), we notice that:

b=$52

m=$2.75

Papa Ron's

From the graph, we can take the pair of points of the line (0,60) and (10,80) by replacing them into the general model, we get:

s(0)=m*0+b

60=b

b=$60

s(10)=80=m*10+60

80-60=m*10

20=m*10

m=20/10=2

m=$2

By comparing each of all the options, we notice that:

-The company that pays the most per shift is Papa Ron's

-The company that pays the most per pizza is Little Squeezer's

To know what company pays the most if Tony delivers 20 pizzas, we just have to replace 20 into the model for each restaurant, then we get:

Bombinors' Pizza

s(20)=2.5*20+56=106

If Tony delivers 20 pizzas, this company pays $106

Little Squeezer's

s(20)=3*20+48=108

If Tony delivers 20 pizzas, this company pays $108

Pizza tent

s(20)=2.75*20+52=107

If Tony delivers 20 pizzas, this company pays $107

Papa Ron's

s(20)=2*20+60=100

If Tony delivers 20 pizzas, this company pays $100

-Then, Tony should work for Little Squeezer's that pays the most if he delivers 20 pizzas

User Palanivelraghul
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