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Mathematics 20 Online
OpenStudy (anonymous):

i need help please The graph represents function 1 and the equation represents function 2: A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3. Function 2 y = 3x + 1 How much more is the rate of change of function 2 than the rate of change of function 1?

OpenStudy (anonymous):

this is the graph

OpenStudy (danjs):

For each increase in X, how much does the Function 1 in th graph Change in Y?

OpenStudy (anonymous):

3?

OpenStudy (danjs):

hmm, on the graph what are these... What is the value of Y when X=1? What is the value of Y when X=2?

OpenStudy (anonymous):

(1,2) (2,3)

OpenStudy (anonymous):

(1,3)*

OpenStudy (danjs):

right (x=1, y=3) is one point, what about when x=2, y = ?

OpenStudy (anonymous):

y would still equal 3

OpenStudy (danjs):

rate of change = slope = how much Y changes each increase in X

OpenStudy (danjs):

for the graph, Y does not change, Horizontal Line, Slope = 0

OpenStudy (anonymous):

my choices are either 1,2,3, or 4

OpenStudy (danjs):

For the function2: y = 3x + 1 You can realize that is the slope-intercept form of a line: y=mx+b, where m=slope/rate of change. Or Use two values of X and figure out how much Y changes as X increases by 1. for example X=1 Y=4 X=2 Y=7 Change in Y per Change in X is 4 to 7, 3

OpenStudy (danjs):

The first function had rate of change of 0 The second had a rate of change of 3 the difference is your answer

OpenStudy (anonymous):

ok. thank you!

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