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@Hero
@Phebe, what are your thoughts regarding this problem?
Do you know what a rate of change is?
Yes i do
i think i know the answer for part A
What do you think the answer is for A? Please show your work as well.
Well for A its following a pattern which is x*5=y
So what does that mean in terms of finding the rate of change?
i thought that was the answer
I was looking more for something like: The rate of change is _________ because ___________.
ok so The rate of change is x*5=y becausethats the pattern its going by?
You should probably go back to your notes and make sure you understand exactly what rate of change is. You're on the right track, however, what you have isn't exactly correct as stated.
I do know what the rte of change is its A rate of change is a rate that describes how one quantity changes in relation to another quantity
Okay, so in this case, you figured out that y = 5x, which is a great start. It shows that the relationship between x and y is linear. The next step would have been to divide both sides by x. Then you would have y/x = 5, since 5 is the slope. In this case the slope of a line is the rate of change.
so 5 is the slope?
Basically, when you have a linear equation of the form y = mx + b, the "m", the slope of the line is the rate of change. The terms "slope" and "rate of change" are synonymous as they apply to linear relationships.
So i was right?
@Hero
Basically, another way to approach answering the question is to use the slope formula. We can take any two points \((x_1, y_1)\), \((x_2, y_2)\) from a line of the form y = mx + b, and apply it to the slope formula: \(m = \dfrac{y_2 - y_1}{x_2 - x_1}\) which will give us the rate of change, \(m\).
okay so hold on let me do that
so y1 would be 10 and y2 would be 20 from the graph they have right?
Yes, you can let \(y_1 = 10\) and \(y_2 = 20\) for this calculation.
|dw:1436586160912:dw| THERE!?!?!?!?! LOL
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