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