benji2246

26.02.2021 •

Mathematics

Which of the following best describes the linear relationship shown?
Storage Space Leasing Survey
Rent (in $100's)
1 2
Square Feet (in 1.000 ft)

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Ответ:

155680

02.07.2022

Mathematics

The pressure of the gas 0°C is about 699.

Step-by-step explanation:

The given table of values is

Temperature Pressure

10 723

25 763

40 800

55 845

80 900

The general form of a trend line is

y=a+bx

where, b is slope and a is y-intercept.

$b=\frac{\sum_{i=1}^nx_iy_i-n\overline{x}\overline{y}}{\sum_{i=1}^nx_i^2-n\overline{x}^2}$

$a=\overline{y}-b\overline{x}$

Using graphing calculator, we get

a=699.006826

b=2.552218

The equation of line of best bit is

y = 2.552218x + 699.006826

where, y is pressure at x°C.

We need to find the pressure of the gas at 0°C.

Substitute x=0 in the above equation.

y = 2.552218(0) + 699.006826

y =699.006826

$y \approx 699$

Therefore the pressure of the gas 0°C is about 699.

1) the data in the table below represents the pressure of the gas as the temperature changes. plot a

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Which of the following best describes the linear relationship shown? Storage Space Leasing Survey Rent (in $100's) 1 2 Square Feet (in 1.000 ft)