The table below shows the outputs y for different inputs x:
2 answers:
<h2>
Answer with explanation: </h2>
Part A:
A relation is said to be a function where each input has only a single output. We usually take the input variable as 'x' and the output variable as 'y'.
In the given table, we can see that 1 is the input value corresponding to 4 and 2 both.
i.e. one input value corresponds to two different output values that contradicts the definition of the function.
Thus the given table doesn't represent any function.
Part B: Given : The total cost f(x), in dollars, for renting a paddle-boat for x hours is shown below:
At x= 120 ,
It represents that the total cost for renting a paddle-boat for 120 hours is $1220.
Part A) The table doesn't represent y as a function of x. Why? <span>One reason is that 1 or 3 is the first element in more than one ordered pair. Part B) f(x) = 10x + 20 f(120)= 10*120 + 20 = 1200 + 20 = 1220 </span><span>f(120) represents cost of boating for 120 hours.</span><span> </span>
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