Word Problems on Linear Functions

1. Linear Function Word Problems

2. Example # 1 Julia has been measuring the length of her baby's hair. The first time it was 6 cm long and after one month it was 2 cm longer.

3. y=mx + by is the totalm(slope) – rate of change (per, of, each, rate)b – is the beginning data (fee, starting point, initial amount)

4. y=mx + b Example # 1 total=(change)x + (initial data) Julia has been measuring the length of her baby's hair. The first time it was 6 cm long and after one month it was 2 cm longer. y=(2)x + 6

5. y=(2)x + 6

6. Example # 2 William has been measuring his height. The first time he was 5 feet tall and after one year he was 5.3 feet tall.

7. y=mx + b total=(change)x + (initial data) Why? Because the change is .3 and not 5.3 which is 5.3 – 5 = .3 that is the change only y = .3x + 5

8. Example # 3 Michael has a big garden. When he measured the height of the tree it was 15 feet tall. After one year it was 16 feet tall.

9. Example # 4 When Olivia measured her garden's grass length the first time it was 3 cm long. After one week it was 7 cm.

10. Example # 5 Noah has a puppy. When he measured his puppy hair's length the first time it was 8 cm long. A month passed it was 12 cm long.

11. Example # 6 Emma knits 2.5 cm of a sweater in an hourand made 5.6 cm in two hours.