1. Shipping charges are often based on a formula that offers a lower charge per pound as the size of the shipment is increased. Suppose shipping charges are as follows: $2.20 per pound if the weight does not exceed 50 lb; $2.10 per pound if the weight is more than 50 lb but does not exceed 200 lb; $2.05 per pound if the weight is more than 200 lb.

a. Find a mathematical model expressing the total cost of a shipment as a function of its weight.

a. Find a mathematical model expressing the total cost of a shipment as a function of its weight.

2. A person’s approximate brain weight is directly proportional to his or her body weight, and a person weighing 150 lb has an approximate brain weight of 4lb.

a. Find a mathematical model expressing the approximate brain weight of a person as a function of the person’s body weight.

b. Find the approximate brain weight of a person whose body weight is 176 lb.

b. Find the approximate brain weight of a person whose body weight is 176 lb.

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