Solve the problem. The data in the table was obtained for a gas at constant temperature. The gas was contained in a syringe and the volume of the gas was varied by squeezing the syringe. The pressure (in atmospheres) of the gas was measured for various volumes (in cm3) of the gas.
Let P be the pressure (in atm) of the gas when the volume is V (in cm3). Find an equation of a model to describe the data. Use the point (8, 1.17) to find the constant of variation. In a sentence that uses the phrase "varies directly" or "varies inversely", describe how the volume and pressure of the gas are related. Use the model you found to estimate the volume of the gas if the pressure is 0.80 atm.
What will be an ideal response?
P = 
; The pressure of the gas varies inversely as its volume; 11.7 cm3
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Write the function using function notation. Let x be the independent variable and y be the dependent variable. Use the letter f to name the function.3x + y = 5
A. y = -3f(x) + 5 B. y = 3f(x) + 5 C. f(x) = -3x + 5 D. f(x) = 3x + 5
The life expectancy E, in solar lifetimes, of a star is related to the mass M, in solar masses, by the formula
.
?
A: Make a graph of the life expectancy versus the mass. Include up to 20 solar masses.B: Does a larger star have a longer or shorter life expectancy?C: If one star is double the mass of another, how do their life expectancies compare? Express your answer as a percent.
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Round your answer to two decimal places if necessary.
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What will be an ideal response?
Sketch several solution curves.y' = y4 - y3
What will be an ideal response?
Graph.x2 + y2 + 4x + 4y - 17 = 0
A. 
B. 
C. 
D. 