The value of a computer in dollars, is given by c(t) =600 -150t, where t is the number of years since the computer was purchased. a. Find and interpret the vertical intercept of the fucntion c. b. Find and interpret the horizontal intercept of c. C. Find the domain and range of c.

Question

perl · Answer

the vertical intercept, also known as y intercept, is the starting value of the computer at t=0 years

unklerhaukus · Answer

so sub in t=0 into c(t)

c(t) = 600 -150t
c(0) = 600 -150(0)

and simplify

unklerhaukus · Answer

can you simplify this @cutegirl ?
c(0) = 600 -150(0)
       = 600 -150*0
       =

anonymous · Answer

600

anonymous · Answer

@UnkleRhaukus

unklerhaukus · Answer

can you interpret this "y intercept" in relation to the computer value?

anonymous · Answer

im kindof lost

unklerhaukus · Answer

think about what value the computer might be called when t=0

anonymous · Answer

t=600?

unklerhaukus · Answer

nope, think of some business type word

unklerhaukus · Answer

you got      c(0)= 600      which is right

anonymous · Answer

ow ok i c

anonymous · Answer

then what

unklerhaukus · Answer

you have to interpret this in relation to the computer value equation,

anonymous · Answer

so 600 - 150?

unklerhaukus · Answer

that is 
c(1) = 600 - 150 = 450
which is the value one year after purchase

anonymous · Answer

thats for b?

unklerhaukus · Answer

not quite, 
the horizontal or x intercept is when the value of the computer = 0

ie

c(t)  = 600 -150t
0     = 600 -150t
       =
       =
    t  =

anonymous · Answer

450

unklerhaukus · Answer

0     = 600 -150t
150t = 600 
        =

anonymous · Answer

450

anonymous · Answer

@UnkleRhaukus

unklerhaukus · Answer

no, divide

150t = 600 
      t = 600/150 
      t =

anonymous · Answer

t=4

unklerhaukus · Answer

yeah, the time that value of the computer reaches zero is 4 years