Question

Joseph and Karma are both headed back to their parent’s home in different cars. The graph to the right compares their distance from home to the hours they spent on the road.

Who is heading home at a quicker rate ?
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1 point
Joseph
Karma
Neither - one person is going away from home, while the other is headed home
They both are headed home at the same rate
Check the 3 boxes with true statements.
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3 points
Both Joseph and Karma are at the same place at the same time at (0, 200) - meaning they have the same y-intercept
Joseph and Karma show a positive slope because they both are heading home
Joseph gets home before Karma because he is going faster
Karma starts ahead of Joseph and beats him home
Joseph and Karma show a negative slope because as the time increases, the distance from home decreases
Karma starts behind Joseph, but Joseph beats her home

Answer 1

Answer: Joseph.

Reason: Both lines have negative slope (distance from home decreases with time), and Joseph’s line is steeper (larger magnitude slope), so he is traveling home faster and arrives before Karma.

Three true statements to check:
- Both Joseph and Karma are at the same place at the same time at (0, 200) - meaning they have the same y-intercept
- Joseph gets home before Karma because he is going faster
- Joseph and Karma show a negative slope because as the time increases, the distance from home decreases