Download Final 1.1-1.7 calc review

Calc: Final 1.1-1.7 Review
Name: __________________
1.) The manager of a furniture factory finds that it costs $2200 to manufacture
100 chairs in one day and $4800 to produce 300 chairs in one day.
a.) Express the cost as a function of the number of chairs produced,
assuming that it is linear.
b.) What is the slope of the function and what does it represent? Please
answer in sentence form.
c.) What is the y-intercept and what does it represent? Please answer in
sentence form.
2.) At the surface of the ocean, the water pressure is the same as the air
pressure above the water, 15lb/in2. Below the surface, the water pressure
increases by 4.34 lb/in2 for every 10 ft of descent. Express the water
pressure as a function of the depth below the ocean’s surface.
3.) Find the exponential function f(x) = P0ax whose graph is given.
4.) Find the exponential function f(x) = Perx whose graph is given.
5.) Under ideal conditions, a certain bacteria population is known to double every
three hours. How long does it take for the bacteria to grow to 22 times its
original size?
6.) An isotope of sodium has a half-life of 15 hours. A sample of this isotope has
mass 2 grams.
a.) Write an exponential function for the amount remaining after t hours.
b.) What time is required for the mass to be reduced to 0.01 grams?
7.) A store has been selling 200 dvd players a week at $350 each. A market
survey indicates that for each $10 rebate offered to buyers, the number of
players sold will increase by 20 a week. Find the demand function.
8.) What percentage annual decay rate is equal to a 8% exponential decay rate?