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)
That x-intercept is where the line passes through the x axis (the horizontal line) and the y-intercept is where the the line passes through the y axis (the vertical line).
The slope is kind of like how slanted the line is. The slope is 2 because for every 1 point the goes horizontally, it goes 2 points vertically.
In case you have np idea what on earth I just said the answer is 2.
Answer:
Behavioral theories suggest that personality is a result of interaction between the individual and the environment.
Explanation:
Answer:
Approximately 22,000 metric tonnes of fish per year
Explanation:
From the graph,
Rate of decline :
(metric tonnes of fish in 1965 - metric tonnes of fish in 1995) / range of years
(700,000 - 40,000)metric tonnes ÷ (1995 - 1965)
660,000 metric tonnes ÷ 30 years
660,000 / 30
= 22,000 metric tonnes per year
Approximately 22,000 metric tonnes of fish per year
