Question

The table below shows the squares of different numbers:


Number 2 -2 3 -3
(x)
Square of the number 4 4 9 9
(y)

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 rowboat for x hours is shown below:

f(x) = 20 + 3x

What is the value of f(150), and what does f(150) represent? (5 points)

Answer 1

@TuringTest @ganeshie8

Answer 2

y is a function of x because every input value(x) will have only one outcome(y)
f(150)=470 , it means that renting a rowboat for 150 hours will cost $450 +$20 for a flat fee

Answer 3

Are you positive that B. is correct?

Answer 4

do not solicit plain answers. use what you were told to make a judgement, or ask more questions to further your understanding, otherwise it appears as though you are trying to get the answer without learning, which is not the point of this site.

Answer 5

Ok. I actually do understand part A. I was just checking my answer. :) And, of course I will check the answers before submitting them.

Answer 6

Um, @TuringTest would you mind explaining in like 2 sentences about part A so I can understand it a little more?

Answer 7

true but most likely B. is right because f(150)=20+3(150)

f(150)=20+450
f(150)=470

Answer 8

Alright, got it. I did the problem as well, and it makes sense. :) Thank you.

Answer 9

no problem

Answer 10

@acxbox22 um, one more question. What does f(150) represent?

Answer 11

Is it dollars or hours?

Answer 12

consider the relation between each pair of (x, y)
(2, 4)
(-2, 4)
(3, 9)
(-3, 9)

in each case y=f(x)=x^2, that is, put in any x into the function f(x)=x^2 and you will get y. This indicates y is a function of x.

Answer 13

Ok, I understand. :) One more question, what would f(150) represent? I'm thinking it represents the amount of money the people who rented the rowboat owe after a certain amount of hours.

Answer 14

f(150) represents that you rent the boat for 150 hours which is a long time.
So if you rent the boat for 150 hours you owe $470 to the people you rented the boat from.

Answer 15

Thank you. :)