Mathematics, 18.01.2020 05:31 janreyes39

The pressure of a fixed volume of a certain gas is related to its temperature as shown in the table below.

temperature of gas vs. pressure
temperature (in degrees celsius)
pressure (in pascals)
44 91
52 93
60 95
68 97
76 99

which type of function best models the data in the table?

a)exponential
b)logarithmic
c)linear
d)quadratic

Answers: 1

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Answers

Answer – C (Linear Function)
EXPLANATION

Given,
The volume of the gas is fixed
The pressure, p is related to its temperature, t as highlighted below:

When t = 44, p = 91
When t = 52, p = 93
When t = 60, p = 95
When t =68, p = 97
When t = 76, p = 99

From the above progression of values, we see that starting from 44 degrees Celsius and 91 Pascal, there is a proportionate 2 Pascal increase in pressure for every 8 degrees Celsius increase in the temperature of the gas.

Therefore, (t – 44)/8 = (p – 91)/2

Multiply both sides of the equation by 8
[(t – 44)/8] * 8 = [(p – 91)/2] * 8
t – 44 = 4(p – 91)
t – 44 = 4p – 364

Add 364 to both sides of the equation
t – 44 + 364 = 4p – 364 + 364
t + 320 = 4p
t = 4p – 320

This a linear function; f(x) = y = a + bx
Where
y is the temperature, t
x is the pressure, p
a = -320
b = 4

Answer from: payloo

C) Linear

Step-by-step explanation:

because each y value goes down at a constant rate of 2.

ex: 97-95= 2, 99-97=2

Answer from: Quest

you would have to sell 24 bracelets.

step-by-step explanation:

84/3.5 = 24

Answer from: Quest

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1 1

1 2

1 3

1 4

2 1

2 2

2 3

2 4 = not 1, and 4

3 1

3 2

3 3

3 4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation:

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