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Precalculus - Exam Review for Applications of Quadratic and Exponential Functions

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The path of a projectile is modeled by
h(t)=64t-16t².
Find its maximum height.
Answer:
The path of a projectile is modeled by
h(t)=64t-16t².
Find the time needed for it to reach its maximum height.
Answer:
The path of a projectile is modeled by
h(t)=64t-16t².
At what 2 times does the projectile reach a height of 10 ft?
Answer:
p=-15t²+600t+50 represents the profit p when the ticket price is t.
What ticket price yields the maximum profit?
Answer:
p=-15t²+600t+50 represents the profit p when the ticket price is t.
What is the maximum profit possible?
Answer:
p=-15t²+600t+50 represents the profit p when the ticket price is t.
What is the lowest ticket price that could be charged to earn a profit of at least $5000?
Answer:
h(t)=-16t²+64t+190
Find the time it take the projectile modeled by this function to strike the ground.
Answer:
A bus company charges $1.25 per ride and currently averages 10,000 riders per day. For each $0.10 increase in fare, there will be a loss of 500 riders. What fare should be charged to maximize revenue?
Answer:
Last year, yearbooks cost $75 and 500 were sold. A survey found that for every $5 reduction in price, 100 more students will buy yearbooks. What price should be charged to maximize the revenue?
Answer:
The equation for the cost of manufacturing lawn mowers is y=0.008x²-0.4x+75, where x represents the number of mowers produced. What number of mowers should be produced to minimize the cost?
Answer:
Write an exponential function to model an initial amount of 9.2 that increases 20% per year.
Answer:
Write an exponential function to model an initial amount of 3 that increases 12% per year.
Answer:
Write an exponential function to model an initial amount of 6.3 that decreases 16% per year.
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Write an exponential function to model an initial amount of 1.6 that decreases 0.5% per year.
Answer:
Write an exponential function to model an initial amount of 4 that decreases 10% every 5 years.
Answer:
In 1985, there were 285 cell phone subscribers in a town. The number of subscribers increased by 75% per year after 1985. How many subscribers were there in 1994?
Answer:
Each year a school sponsors a tennis tournament. Play starts with 128 participants. During each round, half the players are eliminated. How many players remain after 5 rounds?
Answer:
You buy a new computer for $2100. The computer's value decreases by 45% each year. When will the computer's value be $600?
Answer:
You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10 mg of caffeine?
Answer:
The half-life of Sodium-24 is 15 hours. How long will it take for a 5-mg sample to decay to 1.75 mgs?
Answer: about 22.72 hours