Graph y=3x on the coordinate plane. Identify the unit rate from the graph.
2 answers:
Answer:
The unit rate is 3.
Step-by-step explanation:
<em>The unit rate is the slope of the line on the graph</em>. The slope of the line on the graph will be the coefficient of x in the equation, so you don't really need to make the graph to find the unit rate.
To make a graph useful for finding the unit rate, it is convenient to choose x-values that are 1 unit apart.
For graphing, it is often useful to choose x=0 as a place to start. Here, that means ...
... y = 3·0 = 0 . . . . . one point on the graph is (x, y) = (0, 0)
Choosing x to be 1 unit from there, we have ...
... y = 3·1 = 3 . . . . . another point on the graph is (x, y) = (1, 3)
Now, we can see that a change in x of 1 unit has produced a change in y of 3 units. The unit rate is ...
... unit rate = slope = (change in y)/(change in x) = 3/1 = 3
You might be interested in
Answer:
2/3
Step-by-step explanation:
so the inverse takes us from the range to the domain... they tell us that f(4) goes to 5.. so if we were to take the inverse f(5) it takes us back to 4... and the slope at 4 or the derivative was 2/3 so that's what we get for f
'(5) :)
