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Sagot :
Answer:
40 soda each minute
Step-by-step explanation:
we are given two points (4,160),(7,280)
we want to figure out" the number of soda bottles the machine can make each minute."
remember that, to figure out how many soda bottles the machine can make each time is the same thing as to figure out the slope (average rate of change) of the given points
recall that,
[tex] \displaystyle m = \frac{ y_{2} - y _{1} }{x _{2} - x _{1}} [/tex]
let's the starting and ending points be (4,160) and (7,280) respectively thus,
[tex]y_2=280\\y_1=160\\x_2=7\\x_1=4[/tex]
substitute
[tex] \displaystyle m = \frac{ 280- 160 }{7 - 4} [/tex]
simplify substitution:
[tex] \displaystyle m = \frac{ 120 }{3} [/tex]
simplify division:
[tex] \displaystyle m = 40[/tex]
therefore,
the machine can make 40 soda each minute
Answer:
- 40 bottles
Step-by-step explanation:
This represents a proportional relationship.
The equation for proportional relationship is:
- y = kx
In the given case we have:
- y- number of soda bottles made in x minutes, k- the number of bottles made in one minute
Use either point to work out the value of k:
- 160 = k*4
- k = 160/4
- k = 40
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