SOLUTION: A tree is 7 feet tall when it is planted write a formula for the height H(t) of the tree after t years if the tree grows 4 feet every year H(t)
Grows 4 feet every 5 years H(t)
Each equation is of the form y = mx+b
y = H(t) = height at time t
m = slope = tells us how fast the tree is growing
x = t = input time value, in years
b = starting height = 7 for each equation
If a tree grows 4 feet every 5 years, then it grows 1 foot every 4/5 = 0.8 years.
If needed, we can make a table of values.
Here's a sample table for the third formula
t
H(t) = (1/5)t+7
0
7
1
7.2
2
7.4
3
7.6
4
7.8
5
8
6
8.2
7
8.4
8
8.6
9
8.8
10
9
Each time we reach a multiple of 5, we get to another whole number for H(t)
In other words
t = 0 leads to H(t) = 7
t = 5 leads to H(t) = 8
t = 10 leads to H(t) = 9
I'll let you generate the other tables if your teacher requires it.