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A football team lost 9 yards on its first play. It then gained 9 yards on its second play.

A. What expression can be written to represent how many yards the football team is from where it started? Explain your reasoning.

B. How many yards is the football team from where it started?

C. Suppose that, instead, the football team had gained 9 yards on its first play and lost 9 yards on its second play. Would the team’s position on the field have been any different than it actually was after the first two plays? Why or why not?

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Respuesta :

A.) Let x equal the starting point and y equal the ending point.
They lost 9 yards on its first play so y=x-9 and then they gained 9 yards on the second play so y=x-9+9.

B.) They are in the exact same spot that they started in.

C.)No their position on the field would have not been any different than it actually was after the first two plays because they would still end in the exact same spot they started in.

The expression that can be written to represent how many yards the football team is from where it started is [tex]x-9+9[/tex] or [tex]x[/tex].

The football team are in the exact same spot from where they started.

In the second case also, the position is still the same.

Yards lost in first play [tex]= 9[/tex] yards.

Yards gained in second play [tex]= 9[/tex] yards.

A) Let [tex]x[/tex] be the starting point for the football team.

First it lost [tex]9[/tex] yards, so the position is [tex]x-9[/tex].

Then it gained [tex]9[/tex] yards, so the position is [tex]x-9+9[/tex].

So, the expression that can be written to represent how many yards the football team is from where it started is [tex]x-9+9[/tex] or [tex]x[/tex].

B) Here, the starting point is [tex]x[/tex] and the final point is [tex]x[/tex].

So, the football team are in the exact same spot from where they started.

C) Let [tex]x[/tex] be the starting point for the football team.

First it gained [tex]9[/tex] yards, so the position is [tex]x+9[/tex].

Then it lost [tex]9[/tex] yards, so the position is [tex]x+9-9[/tex].

So, the position is still the same.

Learn more about expression here:

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