Linear Models
Math 156
Names:
Names:
1. A baby elephant weighs 75 pounds at birth and gains 23 pounds every month.
Express the weigh of the elephant as a function of its age (in months.)
2. The U.S. Census says the population of King County is 3,652,000 and is growing
at a rate of 13,000 people per year. Express the population of King County as a
function of time.
3. The number of grizzly bears in the North Cascades is estimated to be 150, and is
decreasing at a rate of 2 bears every 5 years. Express the number of grizzly bears
as a function of the number of years.
4. A company can produce 1000 widgets in a week at a total cost of $6000, and
1500 widgets in a week at a total cost of $8500. Find the manufacturer’s weekly
fixed costs and the marginal cost per widget.
5. A large department store is prepared to buy 3950 of your shower curtains per
month for $5.00 each, but only 3700 per month if you charge $10 per curtain.
What is the linear demand function for your shower curtains? (The demand
function is the number of shower curtains you sell as a function of the price you
charge.
6. Admission to the Seattle Aquarium is $12 for adults. Groups of 20 or more get a
discounted admission of $10 per person. You are planning a trip to the aquarium
for Student Activities where and are expecting somewhere between 15 and 30
adults to attend. What is the total cost for your group as a function of the number
of people in the group?