Question 780660: I don't understand how to write an equation, in function notation...
The question: Jim likes to rock climb in his spare time. He recently climbed from the top to the bottom of a 2500-ft cliff at a rate of 20 ft/ min.
Write an equation, in function notation, to represent Jim's height, h, in feet, above the ground after t min.
Answer by josgarithmetic(39625)   (Show Source):
You can put this solution on YOUR website! First decide which is the function and which is the independent variable. The question asks for Jim's height after an amount of time. Height depends on time. The function will be height. The independent variable is time.
To begin with function notation, give the function a variable name. A good name can be h. This function, h, depends on time, t. You would name the function in symbols as h(t), and call it "function h of t", or "h is a function of t".
You next objective must be to find a definition for h in number symbols. Jim starts at the top of the rock and climbs downward at 20 feet per minute. Pick any time value, and generally call it t. At t=0, Jim is at the top and is then at 2500 feet. Then at any time t, .....
This should be clear enough now. YOU DO THIS!
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