Homework Help: algebra

Posted by kelly on Sunday, July 24, 2011 at 4:06pm.

In 1920 the record for a certain race was 46.5 seconds. in 1980 it was 45.3 seconds let R(t) = the record in the race and t=the number of years since 1920

R(t) = 46.5 - t*0.02
what is the predicted record in 2003? 44.84
what is the predicted record in 2006?44.78
what year will the record be 44.58 seconds? 2015
help me figure this out, first I subtract 46.5 - 45.3 = 1.2 next 1980- 1920 = 60 1.2/60 = 0.02
are these correct

algebra - Damon, Sunday, July 24, 2011 at 5:04pm
t = year - 1920

r = m t + 46.5

in 1980 t = 1980 - 1920 = 60

r = m (60) + 46.5 = 45.3
so
m = (45.3-46.5)/60 = -0.02
so
r = -0.02 t + 46.5 Our equation agreed

in 2003:
t = 2003 - 1920 = 83 years
r = -0.02 (83) + 46.5 = 44.84 agree

now for example in what year will it be 44 seconds?

44 = -0.02 t + 46.5
0.02 t = 46.5 - 44 = 2.5
so
t = 125
125 = year - 1920
so year = 2045 (that is just an example so you can do the real problem.)

Answer this Question

Related Questions

Algebra - In 1920, the record for a race was 46.9 seconds. In 1940 it was 46.5 ...
Intermediate Algebra - in 1920 the record for a certain race was 45.7 seconds. ...
math - in 1920 the record for a certain race was 46.9 sec. In 1990 it was 45.5 ...
Math - In 1920, the record for a certain race was 46.6 sec. In 1980, it was 45.4...
math - In 1920 the record for a certain race was 46.6 sec. In 1950 it was 46.0 ...
Algebra 1 - in 1920, the record for a certain race was 45.8 sec. In 1980, it was...
math - someone plz hlp me.... In 1920 the record for a certain race was 46.6 sec...
Math 116 - In 1920, the record for a certain race was 45.7 sec. In 1950, it was ...
Math - In 1920, the record for a certain race was 46.6 sec. In 1980, it was 45.4...
math plz hlp - someone plz hlp me.... In 1920 the record for a certain race was ...

For Further Reading

First Name:
School Subject:
Answer: