Answer: H(t) = 43in + (2in/year)*t.
Step-by-step explanation:
At age of 6, the height is 43 inches.
We can define the age of 6 as our t = 0, where t is our variable that represents the number of years after year number 6.
So t = 1 year corresponds to the age of 7 years
t = 2 years corresponds to the age of 8 years, etc.
We know that for the next few years, the child's height will increase by 2 inches per year.
Then at the age of 7, the height will be: 43 in + 2 in
At the age of 8, the height will be: (43in + 2 in) + 2 in = 43in + 2*2in.
And so on, so we can write this as a linear relationship.
H(t) = 43in + (2in/year)*t.
The initial value is the value when t = 0 years
H(0) = 43in
The initial value is 43 inches.
The growth rate is the coefficient that multiplies the variable, in this case is 2 inches per year or 2 in/year.
