You hammer a nail into a tree trunk 10 ft above the ground (and the tree is currently 20 ft tall). The tree grows taller at a ra
1 answer:
Answer:
The nail would be 30 feet above the ground in 10 years.
Step-by-step explanation:
We are given the following in the question:
Height of nail = 10 feet.
The tree grows taller at a rate of 2 feet per year.
Thus, the height of nail can be represented by a linear function:
where t is the number of years.
We have to find the height of nail in 10 years.
Putting t = 10, we get,
Thus, the nail would be 30 feet above the ground in 10 years.
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The equation which represents exponential decay is y=
Given four equations : 1)y=, 2) y=
, 3) y=
, 4) y=
.
Equation is relationship between two or more variables expressed in equal to form. Equations of two variables look like ax+by=c. Exponential equation look like .
Decay means when x value increases ,the y value decreases.
We haveto put 3 values for x in the equations to check.
1)y=
put x=0,y=-3
put x=1, y=-1
put x=2, y=5
No,itdoes not represents exponential decay.
2) y=2
put x=0,y=2
put x=1, y=8
put x=2, y=32
No,it does not represents exponential decay.
3) y=
put x=0,y=0.5
put x=1, y=1.5
put x=2, y=4.5
No,it does not represents exponential decay.
4)y=6
put x=0,y=6
put x=1, y=2
put x=2, y=0.67
Yes ,it represents exponential decay.
Hence the equation which represents exponential decay is y=6.
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