how do i graph w=600+30T

Question

the w ranges from 1 to 800 and T ranges from 1 to 8

Answer 1

w = 600 + 30T

 

This is is actually a line segment since

You have limits on your w and T

 

The domain is [1,8]

The range is [1, 800]

 

T       W=600+30T

----------------------

1           630

2           660

3           690

.

.

.

8          840

 

As can be seen T cannot actually go

to 8 because that puts w ouside of the range

of [1,800]

Let's find the maximum value of T:

 

800 = 600 + 30T

200 = 30T

T = 200/30 = 20/3 = 6 2/3

 

Your true domain of T is [1, 6 2/3]

Your true range of w is [630, 800]

 

You can graph your line segment from the 

points (1, 630) to (6 2/3, 800)

 

Label your horizontal axis T and mark it from

1 to 7

 

Label your vertical axis w and mark it from

600 to 800 in increments of 20 for ease

 

Then plot the two points 

(1, 630), (6 2/3, 800) and connect the two points

 

Answer 2

It's a straight line; compare to y=mx+b but call yourT x, and call your w Y.