Question

What is the rate of change and initial value for the linear relation that includes the points shown in the table?

x y
2 3
4 5
6 7
8 9
Initial value: 1, rate of change: 2
Initial value: 1, rate of change: 1
Initial value: 2, rate of change: 2
Initial value: 3, rate of change: 2

Answer 1

@Michele_Laino caan you help? I have no Idea

Answer 2

initial value is the value of \(y\) at \(x=2\)

Answer 3

yes

Answer 4

its +1?

Answer 5

So how would you explain the answer choices lol

Answer 6

please wait a moment, I'm thinking...

Answer 7

ok :)

Answer 8

i think d

Answer 9

the data you provided can be modeled by this linear function:
\(y=x+1\)

Answer 10

mm hmm

Answer 11

so d?

Answer 12

the rate of change \(r\), is:
\[r = \frac{{7 - 5}}{{6 - 4}} = ...?\]
or it is the slope of this equation:
\(y=x+1\)

Answer 13

oh. so 2, 2 right so like c

Answer 14

I have chosen the the second and third ordered pairs

Answer 15

I got this:
\[r = \frac{{7 - 5}}{{6 - 4}} = 1\]

Answer 16

lol ok so b

Answer 17

yes! I think it is b), since if we replace \(x=0\), we get:
\(y=x+1=0+1=1\)

Answer 18

lol thanks i have a few more could you help? ill repost

Answer 19

namely the initial value is the value of \(y\) at \(x=0\)

Answer 20

:)

Answer 21

I can help! :)