Chapter 8 linear appliCaTionS 299
home to work is given by d = 30t, and the distance from work to home
is given by dt = (^45) ()– ^1860 miles.
30 45 18
60
30 45 3
10
30 45 135
1
tt
tt
tt
=−
=−
=−
00
30 45 27
2
45 45
15 27
2
1
15
27
2
9
10
tt
tt
t
t
t
=−
−−
−=−
−
⋅−
The distance from Toni’s home and work is 30 t = (^30) () 109 27 miles. =
- Let t represent the number of hours Leo spent walking his grandson to
school. Then t – ^1660 represents the number of hours Leo spent walking
home. The distance from home to school is given by d = 3t and the dis-
tance from school to home is given by dt = ()– 5^1660.
3516
60
35 4
15
3520
15
35
tt
tt
tt
tt
=−
=−
=−
=−^44
3
55
2 4
3
1
2
4
3
2
3
−−
−=−
=
−
⋅−
=
tt
t
t
t
The distance from home to school is 33 t = ()^232 miles. =