Data:
x: number of months
y: tree's height
Tipical grow: 0.22
Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)
In this case the slope (m) or rate of change is the tipical grow.
m=0.22
To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):
Use the slope(m) and y-intercept (b) to write the equation:
A) This line's slope-intercept equation is: y=0.22x+17.2
B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:
Then, after 29 months the tree would be 23.58 feet in height
C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:
Then, after 58 months the tree would be 29.96feet tall
The answer here is C. The sign of the factors are both positive. We can use the FOIL method as reference in determining the sign of the factors. The 3rd term C is positive; therefore our only option is either both negative or both positive. Looking the middle term, which is positive, we know that the middle term is the sum of the outer and inner in FOIL method, which means, signs of the factors must be both positive
The answer would be 8.7639
For each term you will plug in the term number into n. 2, 4, 8, 16
Answer:
23.3 years
Step-by-step explanation:
4000 = 2136.7(1 + .027/4)^(4t)
4000 / 2136.7 = 1.00675^4t
ln (4000 / 2136.7) / ln 1.00675^4 = t
23.301690290541729158877031400229 = t
23.3 years
