Question

Linear Functions Math help!!!!

Answer 1

whats ur qn

Answer 2

There it is.

Answer 3

awe man can u just take a screenshot

Answer 4

Okay, here is the screen shot

Answer 5

okay if u notice, what is the difference between each subsequent length

Answer 6

2(months)
1.5(length)

Answer 7

Is that correct?

Answer 8

For every 2 months, baby Grace grows 1.5 inches.
6-4=2(months)
21.5(6 months)-20(4 months)=1.5 inches.
So the rate of change in the length of baby girl Grace is 1.5 inches.

Answer 9

okay one little mistake here

Answer 10

remember a rate of change is inches/month

Answer 11

so for 2 months hes going up 1.5 inches

so for 1 month its 1.5/2

so rate of change in inches/month = 0.75 inches/month

Answer 12

Okay, thanks! What about b?

Answer 13

okay a line equation can be written as y=mx+B
m is the slope aka rate of change, and b is the y intercept

Answer 14

y intercept is the value of y, when x is 0

Answer 15

ok so u already did the harder part, what is the slope here again?

Answer 16

The slope in this problem is the rate of change. Which is 0.75. right?

Answer 17

right, so we have y=0.75x +b
so far, we need to see what b is

Answer 18

we can find b, by this method, now since this is the equation of our line, it will satisfy all the points on our line, so lets pick any point (x,y) and see what b ha to be so that this equation really does satisfy all the points

Answer 19

so one of the point is (4,20)
plug this into the equation
y=0.75x+b
20=0.75(4)+b
what is b?

Answer 20

17?

Answer 21

yes so your equation has become
y=0.75x+17

Answer 22

you can do a final check to see if this equation of your line truly works

Answer 23

plug in any other point and see that it works

Answer 24

try (8.23)

y=0.75x+17
23=0.75*8 + 17
23=6+17
23 =23
so this equation of the line works

Answer 25

Thank you!!! Here is c and d to the question:

Answer 26

so at birth we consider than when time =0 or 0 months

Answer 27

y=0.75x+17
so what is 0 here?

Answer 28

0=x?

Answer 29

right so what does that make her height or y

Answer 30

0.75

Answer 31

nope try again

Answer 32

17

Answer 33

yes

Answer 34

y=0.75*0+17
y=0+17
=17

Answer 35

now u see why that b
in y=mx+b is known as the y intercept

Answer 36

it tells you what y is when x is 0