Practice with the Slope of a Line
buttons.Practice Problems
Answers
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The $$x$$-intercept tells us the value of the $$x$$-variable when the $$y$$-variable equals.
In this context, $$x$$ represents the seconds since sending the print job, and $$y$$ represents how many pages have printed. So the $$x$$-intercept at (5, 0) says that when 5 seconds had passed, there were 0 pages printed.
The answer
The $$x$$-intercept represents the number of seconds that passed before the printer started printing pages.
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What does each feature tell us?
The $$x$$-intercept tells us the value of the $$x$$-variable when the $$y$$ variable equals 0.
The $$y$$-intercept tells us the value of the $$y$$-variable when the $$x$$ variable equals 0.
The slope tells us how much the $$y$$-variable changes for each 1-unit increase in the $$x$$-variable.
What feature do we need?
We want to know the distance from the observation point in 2003. Since $$y$$ represents the distance from the observation point, we are looking for the value of $$y$$ (the distance) when $$x=5$$ (because 2003 is 5 years after 1998).
Answer
The point (5, 2.55) represents the distance from the observation point in 2003.
Since that was not an option, the answer is none of the above.
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What does the $$y$$-intercept represent?
The $$y$$-intercept tells us the value of the $$y$$-variable when the $$x$$-variable equals.
In this context, $$x$$ represents the mass of the wheat cereal, and $$y$$ represents the mass of the oat cereal. So the $$y$$-intercept at approximately (0, 28) says that if the bowl has 0 grams of wheat cereal, it has about 28 grams of oat cereal.
The answer
The $$y$$-intercept represents the mass of the cereal if it is all oat pieces.
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What does each feature tell us?
The $$x$$-intercept tells us the value of the $$x$$-variable when the $$y$$ variable equals 0.
The $$y$$-intercept tells us the value of the $$y$$-variable when the $$x$$ variable equals 0.
The slope tells us how much the $$y$$-variable changes for each 1-unit increase in the $$x$$-variable.
What feature do we need?
We want to know how long Nirmala can use the lamp before it runs out of oil. Since $$y$$ represents the volume of oil, we are looking for the value of $$x$$ (the duration) when $$y=0$$ (when the lamp has no oil).
Answer
The $$x$$-intercept represents how long Nirmala can use the lamp before it runs out of oil.