Answer:
f(x)= 50+4.25x
g(x)= 40+6.25x
(5, 71.25)
Explanation:
they are asking for the number of garmets and price of those garmets where both shops charge the same amount
if you make the two shops prices into equations you will be trying to find the line intercept
to make the lines equations
they said f(x) is cleaning company 1
g(x) is cleaning company 2
and x in the number of garmets cleaned
you can see from prices that the price does not start at 0 it has a baseline price to clean
that baseline price is the +____
113.75-92.50 to find the difference in price for 5 garmets
=21.25
21.25/5 to find raise in price per 1 garmet
=4.25
now we know its 4.25x+b
baseline price = b
to find b plug in the values on the chart (first row)
4.25(5)+b=71.25
21.25+b=71.25
b=50
baseline price = 50
store 1 price is= f(x)= 50+4.25x
im gonna run out of space ill do the second one short
103.75-72.5=31.25
31.25/5=6.25
71.25=6.25(5)+x
71.25-31.25=x
x= 40= base price
g(x)= 40+6.25x
find intersection
g(x) =y
f(x) = y
y=y
therefore
50+4.25x=40+6.25x
10+4.25x=6.25x
10+4.25x=6.25x
10=2x
x=5
to find y intersection put in x to equation
y= 50+4.25x
y= 50+4.25(5)
y=50+21.25
y=71.25
intersection is (5, 71.25)
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