Suppose w=j(h) is the average daily quantity of water (in litres) required by an oak tree of height h metres. If Wa is the quantity of water required by a tree of average height, write an expression for the height of a tree 10 m higher than the average. Show step by step working outs.
To calculate the height of a tree that is 10 m higher than the average height, we can start by defining the expression for the average daily quantity of water required by an oak tree of height h meters, which is given as w = j(h).
Let's substitute the value of h + 10 into the expression to find the quantity of water required for a tree that is 10 meters higher than the average:
w = j(h + 10)
That's it! The expression w = j(h + 10) represents the average daily quantity of water required by a tree that is 10 meters higher than the average height.
The expression for the height of a tree 10 m higher than the average can be derived by substituting h + 10 into the function w = j(h).
Here are the step-by-step working outs:
1. Start with the function w = j(h), which represents the average daily quantity of water required by an oak tree of height h metres.
2. To find the expression for a tree 10 m higher than the average height, substitute h + 10 into the function w = j(h).
w = j(h + 10)
3. The expression w = j(h + 10) gives us the average daily quantity of water required by a tree of height h + 10.
Therefore, the expression for the height of a tree 10 m higher than the average is w = j(h + 10).