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(a) Sam is deciding how many people to take to the movies. The table below shows the cost for different sized groups of people.Number in group 4 8 9Cost (in dollars) 36 64 72The cost for each person is not always the same.The cost for each person appears to be the same.Predicted number in group for a cost of $80:

Question

(a) Sam is deciding how many people to take to the movies. The table below shows the cost for different sized groups of people.Number in group 4 8 9Cost (in dollars) 36 64 72The cost for each person is not always the same.The cost for each person appears to be the same.Predicted number in group for a cost of $80:

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Solution

To predict the number of people Sam can take to the movies for $80, we need to find the cost per person.

From the table, we can see that the cost for 4 people is 36,for8peopleis36, for 8 people is 64, and for 9 people is $72.

Let's calculate the cost per person for each group:

  • For 4 people: 36/4=36 / 4 = 9 per person
  • For 8 people: 64/8=64 / 8 = 8 per person
  • For 9 people: 72/9=72 / 9 = 8 per person

We can see that the cost per person is not always the same. It's 9perpersonforagroupof4and9 per person for a group of 4 and 8 per person for groups of 8 and 9.

However, since the cost per person for the larger groups (8 and 9 people) is 8,wecanusethistoestimatethenumberofpeopleSamcantaketothemoviesfor8, we can use this to estimate the number of people Sam can take to the movies for 80.

So, 80/80 / 8 per person = 10 people

Therefore, Sam can take approximately 10 people to the movies for $80.

This problem has been solved

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