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. = 

3. 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. =