Alinear function that represents the number of hot dogs purchased at a football game is compared to a different linear function that represents the time left in the game. describe the key features of the functions that are needed to determine if these lines intersect.

The duration of football game is of 1 hour 10 minutes.

Now, Suppose there are Approximately 60,000 spectators in the Playground watching the match.

Number of hotdogs prepared for Public = (80,000)Approximately

Number of hotdogs sold will be a linear function which will be function of t.

  y=100t + 100, where t=1,2,3,4,70 --t is in minutes.

                     (1)

You can create many more functions,which will be in the form of , y=mx+c.

 And the equation which represents time left in the game is , as total duration of game is 70 minutes.

     →  t≤70 (2), where t, is in minutes and can be any real number.

 So, the two functions will intersect at different values of t.

At, t=1,

Number of hot dogs sold

  y=100×1+100

y=200

So, we can calculate distinct ,y that is number of hot dogs sold, for distinct value of t.

y will always be a positive integer >0.

hope this helps

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