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Mathematics 14 Online
OpenStudy (anonymous):

Consider the two functions shown here. Which function has the greater rate of change? Explain your answer. A) Function 1, because the rate of change is 2. B) Function 2, because the rate of change is ½. C) Function 2, because the rate of change is 7. D) Function 1, because the rate of change is ½

OpenStudy (anonymous):

OpenStudy (danjs):

The rate of change, is the slope of the function or the graph

OpenStudy (anonymous):

@epicjackal117

OpenStudy (danjs):

What is the slope of Function 1 and Function 2?

OpenStudy (danjs):

recall : slope = rise / run = change in y value / change in x value and y = mx+b where m is the slope

OpenStudy (danjs):

Function 1: For a change in one x unit, the y changes 2 units, so the slope is 2/1 or 2 Function 2: the slope is the m in y=mx+ b or m = 1/2

OpenStudy (danjs):

so which one has a larger rate of change?

OpenStudy (danjs):

Function 1 has a slope(rate of change) of 2 Function 2 has a slope(rate of change) of 1/2 which has the larger rate of change/slope?

OpenStudy (anonymous):

a

OpenStudy (anonymous):

don't you need to know point slope form for this

OpenStudy (danjs):

no, all you need to know is the slope of each

OpenStudy (danjs):

A is correct

OpenStudy (anonymous):

oh

OpenStudy (danjs):

Whenever you see "Rate of Change", automatically think "Slope"

OpenStudy (anonymous):

then yes A is your answer

OpenStudy (anonymous):

it ia A @Esi7023

OpenStudy (anonymous):

thxs:0

OpenStudy (anonymous):

np

OpenStudy (anonymous):

how many more

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