The math club is throwing a graduation party for five of its members. The club has decided to hire a band for $600 and to buy $200 worth of food and drinks for the party. Each member of the club who attends the party (except the five graduates) is to pay an equal amount of the costs. All five graduating members will be attending the party. (a) Find a model for the cost per person (for nongraduating members), C, in dollars for this party if m members of the club attend the party. (m does include the five graduates. Assume that only members of the math club can attend.) --Select- (b) Find the cost per person for each nongraduating member of the club who attends the party if 45 members attend. (Include units in your answer. More information.) If 45 members attend the graduation party, then each nongraduating member attending will pay (c) What are a reasonable domain and range for this model if the math club has 50 members? (Round your answers to two decimal places.) Domain: O 17.78 s m s 800 5 s ms 50 OsCS 800 O 1s ms 50 17.78 sCs 800 6 s ms 50 Range: O oscs 800 17.78 sC so 17.78 < m s 800 17.78 sC S 800 5 < m s 50 O 6s m s 50

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.