20 terms

stacyleibyTEACHER

The path of a projectile is modeled by

h(t)=64t-16t².

Find its maximum height.

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.

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?

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?

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?

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?

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.

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.

Answer:

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