Question

1. How can a table be used to find the rate of change and the initial value? Describe the process.

2. How do you find rate of change using a graph?

Answer 1

can someone pls help

Answer 2

@TheSmartOne

Answer 3

A table shows you the x and y-values of a function, right?

Answer 4

yes

Answer 5

correct, and remember that rate of change is just a fancy way of saying slope

do you know the slope formula?

Answer 6

would it be rise over run

Answer 7

yes, and another way of writing that would be

\(\sf\Large Slope = \frac{\color{blue}{y_2}-\color{red}{y_1}}{\color{green}{x_2}-\color{purple}{x_1}}\)

Where the two points are in the form:

\(\sf\Large (\color{purple}{x_1},\color{red}{y_1})~and~(\color{green}{x_2},\color{blue}{y_2})\)

Answer 8

rise over run is nothing but change in y-values over change in x-values

and that's nothing but the formula I wrote above

Answer 9

ok, yea i learnt that, i just dont know how to describe the firstr and second question, i know all of it i juist struggle at describing it.

Answer 10

So basically, for the first half of #1 you can say

You find the rate of change by plugging in any two points in to the slope formula.

Now for the second half, do you know what the initial value is?

Answer 11

y-intercept

Answer 12

correct! And how can we find the inital value or the y-intercept?

We can find it when x = 0

Answer 13

yi

Answer 14

so this is for the first one right

Answer 15

yes :)

Answer 16

i have to finish in 5 minutes

Answer 17

So on a graph, all you have to do is find any two points on a given line, and use the slope formula xD

Basically, to find any rate of change, you find two points, and plug and chug in to the slope formula

Answer 18

so the first questions answers is all you have to do is find any two points on a given line, and use the slope formula
and
the second is to find any rate of change, you find two points, and plug and chug in to the slope formula

Answer 19

for the first, since it's a table, you're given points. And then you have to use any two points and plug it in to the slope formula. And don't forget how to find the inital value in the first question.

for the second, you have to look at the graph and find any two points on the line. Because any two points on the same line will give you the same rate of change, so it doesn't matter which two points you choose just as long as you put them in to the formula correctly :)

Answer 20

ty, i will give u a medal, now.

Answer 21

Thanks, and welcome to OpenStudy! :)