Of the following sets, which represents a function?

Situation A = {student's name, all the colors that the student likes}

Situation B = {student's name, the student's favorite math teacher}

Question

Of the following sets, which represents a function?

Situation A = {student's name, all the colors that the student likes}

Situation B = {student's name, the student's favorite math teacher}

kitkat1 · Answer

Someone please help me I will give medals!

anonymous · Answer

Situation B because it passes the vertical line test.

zzr0ck3r · Answer

This is confusing. Are these ordered pairs like
{(john,blue),(john,red)...}

zzr0ck3r · Answer

if so then I am with @dimensionx

kitkat1 · Answer

Are u sure B?

anonymous · Answer

Situation A will not pass the vertical line test because you would have more than one y value for each x, while situation B represents a set that can only have one y per x value.

kitkat1 · Answer

Joe provides photos for two online sites: site A and site B.

Site A pays $0.75 for every photo Joe provides.

The amount in dollars (y) site B pays as a function of the number of photos provided (x) is represented by the equation y = 0.25x.

How much more was Joe paid at site A than at site B, if he provided five photos for each site? 
 	
	$1.25
	$1.50
	$2.50
	$3.50

anonymous · Answer

Situation A:
X = Student, Y = Favorite Colors (y=1, 2, 3, 4, etc.)

Situation B:
X = Student, Y = Favorite Teacher (#1, #2, #3, etc.)

Notice that A will not pass the Vertical line test.

kitkat1 · Answer

Yes can u help me with the second one?

anonymous · Answer

Set up two equations.

Eq. 1 is given for site B:
y = 0.25x

Eq 2: Site A pays $0.75 for every photo Joe provides.
[Write equation]

If Joe provides 5 photos (x=5), how much MORE was Joe paid at site A than at site B?
[Subtract A and B]

kitkat1 · Answer

0.5?

kitkat1 · Answer

If u subtract 0.25-0.75=0.5

anonymous · Answer

You need to use two equations.

Site A: y = 0.75x
Site B: y = 0.25x

x is the number of photos Joe is being paid for. the 0.75 and 0.25 are how much he is getting paid for each photo at Site A and Site B respectively.

Site A:
y = 0.75x
y = 0.75(5)
y = 3.75

Site B:
y = 0.25x
y = 0.25(5)
y = 1.25

Site A - Site B = Answer

kitkat1 · Answer

Can u help me with last one?

kitkat1 · Answer

da and Steve spend a certain amount of money from their accounts each week at a pet shelter.

The table shows the relationship between the amount of money (y) remaining in Ada's account and the number of weeks (x):

Function 1:
Number of Weeks
(x)	Amount Remaining (dollars) (y)
1	40
2	36
3	32
4	28


The equation shows the relationship between the amount of money, y, remaining in Steve's account and the number of weeks, x:

Function 2:

y = –5x + 40

Which statement explains which function shows a greater rate of change? (1 point)
 	
	Function 1, because Ada spends $4 each week and Steve spends –$5 each week
	Function 1, because Ada spends $12 each week and Steve spends $35 each week
	Function 2, because Steve spends $5 each week and Ada spends $4 each week
	Function 2, because Steve spends $40 each week and Ada spends $12 each week

kitkat1 · Answer

Ada and Steve spend a certain amount of money from their accounts each week at a pet shelter.

The table shows the relationship between the amount of money (y) remaining in Ada's account and the number of weeks (x):

Function 1:
Number of Weeks
(x)	Amount Remaining (dollars) (y)
1	40
2	36
3	32
4	28


The equation shows the relationship between the amount of money, y, remaining in Steve's account and the number of weeks, x:

Function 2:

y = –5x + 40

Which statement explains which function shows a greater rate of change?

anonymous · Answer

You need to compare the y values in table 1 and 2. See which one is increasing/decreasing the fastest (greater rate of change), which means the slope (m) will have a higher value.

anonymous · Answer

Compare table 1's slope to the slope of function 2.

kitkat1 · Answer

Whats the slope?

kitkat1 · Answer

i mean what is slope?

anonymous · Answer

Slope is the rate of change.

$$m = \frac{ y2-y1 }{ x2-x1 }$$

kitkat1 · Answer

Okay so I know the y values of the first one but what about the second one?

anonymous · Answer

Pick two points (x1, y1) and (x2, y2) in table 1. Calculate m.

Pick two points in function 2 (x1, y1) and (x2, y2). Calculate m.

Compare two values of slope (m) to find which has a higher rate of change.

anonymous · Answer

If you have an equation of a function (function 2), pick any two x numbers you want to plug into the function.

kitkat1 · Answer

I know that the first one rate of change is 4 or 4/1

kitkat1 · Answer

I will plug in 40 and 36

kitkat1 · Answer

So if I plug in 40 then the answer is 240?

kitkat1 · Answer

Help me

anonymous · Answer

Answer: 	Function 2, because Steve spends $5 each week and Ada spends $4 each week

kitkat1 · Answer

Okay thanks!