Answer:
Pauli's pizzeria make more money per pizza
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find out the slope of the graph of Leo's pizzeria
looking at the graph take the point (2,24)
The graph show a proportional relationship (the line passes through the origin)
The slope is m=y/x
we have
For x=2, y=24
substitute
m=24/2=$12 per pizza sold
The linear equation is
y=12x
step 2
Compare the slopes
Pauli's pizzeria
we have
y=15x -----> slope m=$15 per pizza sold
Leo's pizzeria
we have
y=12x -----> slope m=$12 per pizza sold
$15 per pizza sold > $12 per pizza sold
therefore
Pauli's pizzeria make more money per pizza
The Pauli's pizzeria makes more money per pizza
A linear equation is an equation with 2 variables
General formula
or
Where
m = straight-line gradient which is the slope of the line
x1, y1 = the Cartesian coordinate that is crossed by the line
c = constant
The formula for a gradient (m) between 2 points in a line
[tex]\large{\boxed{\bold{m=\frac{y_2-y_1}{x_2-x_1}}}[/tex]
Straight line equation, can be stated in:
The graph of this equation is a line
To choose which pizzeria makes more money per pizza, then we determine the greatest value of y between the two, pauli's pizzeria and leo's pizzeria
Leo's pizzeria equation can be determined from the graph
Let take 2 points to determine the straight line equation :
(2,24) and (4,48)
then :
[tex]\displaystyle m=\frac{48-24}{4-2}\\\\m=\frac{24}{2}\\\\m=12[/tex]
Line equation :
[tex]\displaystyle y-y1=m(x-x1)\\\\y-24=12(x-2)\\\\y-24=12x-24\\\\y=12x[/tex]
From the two equations it can be seen that the largest value of y is obtained from the Pauli's pizzeria equation y = 15x
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Keywords : pizzeria, money, equation, line
