Math 120 Prof. Brick
section 4 Fall 99
Applied Calculus Exam 1
Do the problems in order in your bluebook. Show your work. Explain and
justify your answers.
1. Find the equation of the line passing through the points (1,−1) and (5,3).
2. Find the average rate of change of the function f(x)=x2from x=1tox=3.
3. You are selling magic instant math pills. If you charge two dollars, you end up making
600 sales every week. Each quarter increase in price results in 15 fewer sales. Find and
graph the demand curve.
4. A manufacturer of dongles has fixed costs of $3000 and variable costs of $16 per dongle.
Find the cost equation. If dongles sell for $31 each, find the break-even point.
5. In 1985, the city of erehwoN had a population of 248 thousand. This year the city’s
population is 400 thousand. Use an exponential model to estimate the yearly growth rate.
6. How is the graph of y=f(x+2)−5 gotten from that of y=f(x)?
7. A polynomial f(x) has 2 local maximums. What is the least possible degree of f(x)?
8. You win the lottery and are given the choice of receiving 3 million dollars in equal
annual payments over 4 years or a lump sum payment. Assuming a continuous annual
return from investments of 12.5%, what would a fair lump sum payment be ?
