Determine which quality would be the input and output for each scenario and defi

Question

Determine which quality would be the input and output for each scenario and define meaningful variableh represent values of the input and output (including units), Is this data continuesis is non-descrite? Circle your answer. State the practical domain and range for the scenario. State any assumptions you make. The height of a plant over time Input______Output____Discrete or non-Discrete? Practical Descrete Practical Range The time in takes a cell phone battery to lose its charge. Input____Output____Discrete or non-Discrete? Practical Domain: Practical Range: The number of M&M;'s in a jar sits on your desk each day. When the jar is full it helda 500 M&M;'s Input_____Ouput____Discrete or non-Discrete? Practical Domain: Practical Range: The speed of a semi-tralier truck trvelling uphill carrying different loads. By law max weight of a semi-trailer truck is 80,000 lbs. Input____Output_____Discrete or non-Discrete? Practical Domain: Practical Range:

Explanation / Answer

(2)

Let's assume table for height of plant over time

time (year) height(cm)

(Input) (output)

0 84
1 103
2 122
3 141
4 160

We can see that time and height are continuous

because height can be determined at any time

so, it is non-discrete

Practical domain:

It is all possible values of time

we know that time can never be negative and it will have finite value

so, domain would be (0<=t<=inf)

Practical range:

It is all possible values of height

we know that height can never be negative and it will have finite value

so, domain would be (0<=h<=inf)

(3)

Input(time) = 1 hr 2 hr 3 hr 4 hr

battery dicharge(ouput) = 10% 20% 50% 60% 80%

we know that battery loose charges based on consumptions

so, it won't be continuous

because it's value be zigzag

so, it is discrete

Practical domain:

All possible values of time

we know that time can never be negative and it is always finite

so, domain is (0<=t<=inf)

Practical Range:

Battery discharge precentage

we know that it's value will be between 0% and 100%

so, range is (0<=x<=100)

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