3.
a train consists of three types of cars: box cars. an engine, and a caboose. the relations
is demonstrated in the table below.
* cars, an engine, and a caboose. the relationship among the types of cars
number of box cars
number of cars in the train
1
3
10
12
100
102
a.
tom wrote an expression for the relationship depicted in the table as b + 2. theresa wrote an expression for
the same relationship as c - 2. is it possible to have two different expressions to represent one relationship?
explain.
what do you think the variable in each student's expression represents? how would you define them?
b.
4. david was 3 when marieka was born. complete the table.
marieka's age in years
5
david's age in years
8
7
8
10
10
11
20
32
m
5. caitlin and michael are playing a card game. in the first round, caitlin scored 200 points, and michael scored 175
points. in each of the next few rounds, they each scored 50 points. their score sheet is below.
caitlin's points
200
250
300
350
michael's points
1 75
225
275
325
a. if this trend continues, how many points will michael have when caitlin has 600 points?
b. if this trend continues, how many points will michael have when caitlin has c points?
c. if this trend continues, how many points will caitlin have when michael has 975 points?
d. if this trend continues, how many points will caitlin have when michael has m points?