Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists realize that the gas is leaking over time in a linear way. Nine minutes since the experiment started, the gas had a mass of 326.4 grams. Seventeen minutes since the experiment started, the gas had a mass of 249.6 grams. Let x be the number of minutes that have passed since the experiment started, and let y be the mass of the gas in grams at that moment. Use a linear equation to model the weight of the gas over time. a. This line's slope-intercept equation is b. 32 minutes after the experiment started, there would be grams of gas left. c. If a linear model continues to be accurate, minutes since the experiment started, all gas in the container will be gone.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 52E
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Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists realize that the gas is leaking over
time in a linear way.
Nine minutes since the experiment started, the gas had a mass of 326.4 grams.
Seventeen minutes since the experiment started, the gas had a mass of 249.6 grams.
Let x be the number of minutes that have passed since the experiment started, and let y be the mass of the gas in grams at that moment. Use a linear equation
to model the weight of the gas over time.
a. This line's slope-intercept equation is
b. 32 minutes after the experiment started, there would be grams of gas left.
c. If a linear model continues to be accurate, minutes since the experiment started, all gas in the container will be gone.
Transcribed Image Text:Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists realize that the gas is leaking over time in a linear way. Nine minutes since the experiment started, the gas had a mass of 326.4 grams. Seventeen minutes since the experiment started, the gas had a mass of 249.6 grams. Let x be the number of minutes that have passed since the experiment started, and let y be the mass of the gas in grams at that moment. Use a linear equation to model the weight of the gas over time. a. This line's slope-intercept equation is b. 32 minutes after the experiment started, there would be grams of gas left. c. If a linear model continues to be accurate, minutes since the experiment started, all gas in the container will be gone.
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