IMPORTANT While at a Mets game, Jose got thirsty and decided to buy a soda. The food stands sold sodas in three different sizes:
Sorta Swig: 12 ounces for $1.35

Big Swig: 20 ounces for $2.10

Super Swig: 32 ounces for $3.60

Which size soda should Jose buy to get the best deal? Justify your answer with mathematical reasoning (show your work).

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

answer

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step-by-step explanation:

h is the x-coordinate of the vertex

step-by-step explanation:

we have

in this function

the point represent the vertex of the function

so

h is the x-coordinate of the vertex

k is the y-coordinate of the vertex