Find the output (y) when the input (x) is: 5
y= x/20 + 8
y= 8.25
Are the following outputs a function of the inputs? Be specific when explaining why.

Yes
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Find the input when the output is: 8
y=72x - 16
x=1/3
Is the number of second plates a function of the grams of sugar?

No, the number of second plates is not a function because when ther are 15 seconds the number of sugar could be 180 grams or 120.
Describe what a person would see using specific language.

bathtub start with no water and they fill the tub at a constant rate. They turn the water off and it stays at the same height for the duration of the bath. When they are done, they pull the drain and the tub drains out at a quick rate until there is no water.
Find the input (x) when the input (y) is: 350
y = 100x + 25
y= 3.25
Are the following outputs a function of the inputs? Be specific when explaining why.

No
Is this function linear? How do you know? And, who drives slower?

Yes it is linear because both trucks are increasing at a constant rate. Truck A drives slower because it is not increasing as fast as Truck B.
Find the input when the output is: 5
y=15x + 20
x= -1
Are the following outputs a function of the inputs? Be specific when explaining why. 
Yes, even though all the outputs are the same, they each correspond to exactly one input.
Using the equation and the table, determine which is greater when the input is: 4
Equations: k= 3j + 11

the equation is greater
Find the output (y) when the input (x) is: 9
y= -4(x - 5)
y= -16
Are the following outputs a function of the inputs? Be specific when explaining why. 
No, becasue for the input -1, it could go with output -2 or -4 and 1 and in input 1 could go to outputs 2 and 4 . Outputs cannot have two different inputs.

Part A: Which City was colder at 5pm?
Part B: Compare the temperatures of the cities at 2pm.
Part A: They were the same temperature
Part B: City A was 52 degrees and City B was 78 degrees. City B was 26 degrees warmer than City A.