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
