Answer :
Part A)
The table doesn't represent y as a function of x.
Why? 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
f(120) represents cost of boating for 120 hours.
The table doesn't represent y as a function of x.
Why? 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
f(120) represents cost of boating for 120 hours.
Answer with explanation:
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:
[tex]f(x) = 20 + 10x[/tex]
At x= 120 , [tex]f(120) = 20 + 10(120)=20+1200=1220[/tex]
It represents that the total cost for renting a paddle-boat for 120 hours is $1220.