The golden age club is trying to book a location for their annual retirement dinner. the blue room restaurant quoted a price of $ 380 for the room and $20 per person for the dinner while the wagon wheel restaurant quoted a price of $30 per person. a. write an equation that models each booking. b. how many people would have to attend so that the blue room is the better choice? so that the wagon wheel is the better choice?

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For Wagon Wheel to be the better choice, number of people must be less than 38. Else Blue Room is the better choice.

Step-by-step explanation:

The Golden Age Club is trying to book a location for their annual retirement dinner. The Blue Room restaurant quoted a price of $ 380 for the room and $20 per person for the dinner while the Wagon Wheel restaurant quoted a price of $30 per person.

Let n be the number of people attending.

For Blue Room the price = 380 + 20n

For Wagon Wheel the price = 30n

For Wagon Wheel to be the better choice,

30n ≤ 380 + 20n

n ≤ 38

For Wagon Wheel to be the better choice, number of people must be less than 38. Else Blue Room is the better choice.