Jasmine812
Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

The table below shows the outputs y for different inputs x:


Input
(x) 1 1 3 3
Output
(y) 4 2 12 6


Part A: Does the table represent y as a function of x? Justify your answer. (5 points)

Part B: The total cost f(x), in dollars, for renting a paddleboat for x hours is shown below:

f(x) = 20 + 10x

What is the value of f(120), and what does f(120) represent? (5 points

Sagot :

Rodeway
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.
 

JeanaShupp

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.

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.