Answered

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Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measureu, 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 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. this line's slope-intercept equation is:

Sagot :

The form of the linear equation is y = mx + b

m is the rate

b is the y-intercept (initial amount)

Since y represents the mass of the gas

Since x represents the time

Since the rate of leaking is 1.5 gram/min

Then m = -1.5

Since after six minutes the gas left is 60 gram

Substitute m in the form of the equation by -1.5 and use (6, 60) to find b

y = -1.5x + b

We use the rate negative because the value of gas has become less

Substitute x by 6 and y by 60 to find b

60 = -1.5(6) + b

60 = -9 + b

Add 9 to both sides

60 + 9 = -9 + 9 + b

69 = b

Substitute it in the equation

y = -1.5x + 69

The line's slope-intercept equation is y = -1.5x + 69

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