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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. Each minute, they lose 1.5 grams. Six minutes since the experiment started, the remaining gas had a mass of 60 grams. Let I 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. 35 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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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. Each minute, they lose 1.5 grams. Six minutes since the experiment started, the remaining gas had a mass of 60 grams. Let I 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. 35 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​

Let

t -----> number of minutes

y ----> the mass in grams

we have that

m=-1.5 g/min ----> is negative because is a decreasing function

point (6,60)

Find the equation of the line in slope intercept form

y=mt+b

we have

m=-1.5

point (6,60)

substitute

60=-1.5(6)+b

solve for b

60=-9+b

b=60+9

b=69

the linear equation is

y=-1.5t+69

Part b

For t=35 min

substitute

y=-1.5(35)+69

y=16.5 grams

Part c

For y=0

substitute

0=-1.5t+69

1.5t=69

t=46 minutes

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