Answer the questions and fill in the tables for each situation.
1. Johnny planted a tree in 2013. It was two feet tall when he planted it. Each year it grows about 3 inches.
Height (inches)
14
a. What is the rate of change? ROC = m =
b. What does the rate of change represent?
c. What is the initial value? IV = b =
d. What does the initial value represent?
e. Write an equation that relates height (y) to time (x).
f. Use the equation to predict the height of the tree in 2033.
Time (years)
0
3
5
9
2. Isabella loves old music records. Her mom gave her 12 records for her birthday and now each month she adds 3 records to her collection.
# of records
Time (months)
0
1
3
7
8
10
13
18
24
a. What is the rate of change? ROC = m =
b. What does the rate of change represent?
c. What is the initial value? IV = b =
d. What does the initial value represent?
e. Write an equation that relates number of records (y) to time (x).
f. Use the equation to predict how long it will take Isabella to have 156 records if she continues collecting at the same rate.