Question

The average temperature was 56.3 F, and since then has risen 0.0564 F per year.

a. Assuming the temperature T (in F) is linearly related to time t in years and that t=0 corresponds to 1915, express T in terms of t.

b.Predict the average temperature in the year 2010.

Answer 1

year 0: T = 56.3 F
year 1: T = 56.3 F + 0.0564 F
year 2: T = [56.3 F + 0.0564 F] + 0.0564 F
year 3: T = [56.3 F + 0.0564 F + 0.0564 F] + 0.0564 F
etc.

Do you see the pattern? Can you write it in terms of t, the year number?

Answer 2

I'm still having trouble.
Is it 56.3 + 0.0564(1915)?

Answer 3

not quite. Here they are saying t=0 represents 1915 (so year 0)
Year 1 is t=1 which is 1916
Year 2, t=2, is 1917
year 3, t=3, is 1918
etc..
until 2010

Answer 4

so 2010-1915 will give the value of t

Answer 5

so by 2010 it went up 5.358

Answer 6

yes

Answer 7

so you just add 56.3 to that increase to find the final temperature :)

Answer 8

oh ok

Answer 9

THANK YOU KIRBY!!

Answer 10

no problem :)