Real Life Functions

When is the graph increasing?

• 4am - 4pm

• 4am - 12pm

• 12pm - 4pm

• 4pm - 8pm

The height of a water balloon that is launched into the air is given by h(t) = -5t² + 40t + 2. From what height was the balloon released?

• 2 meters

• 5 meters

• 40 meters

• 20 meters

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t² + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?

• 10 seconds

• 64 seconds

• 960 seconds

• 2 seconds

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t² +84t + 100 models the height, h, of the fireworks at any given time, t. How high do the fireworks get?

• 2.625

• 6.25

• 100

• 200

• 210.25

Anderson has a phone plan that charges a monthly rate of $50 for the first 1,000 minutes plus $0.25 for each additional minute. Which of the following functions models Anderson’s plan for all m> 1,000, with mas the number of minutes per month and f(m) as the monthly charge?

• f(m) = 0.25m 

• f(m) = 0.25m+ 50 

• f(m) = 0.25m– 200 

• f(m) = 0.25m+ 1,000

Pick a function that best models the following situation: The population of penguins in Antarctica. 

• Exponential

• Linear

• Quadratic

• Neither

Which situation could be modeled by a function with a domain that includes positive and negative real numbers?

• the height of a plant as a function of time since the seed was planted

• the elevation of a hiker as a function of the number of steps taken

• the amount of time required to read a book as a function of the number of words in the book

• the amount of precipitation as a function of the outdoor temperature

Pick a function that best models the following situation: A speed of a rollercoaster from start to finish. 

• Exponential

• Linear

• Quadratic

• Neither

A diver is standing on a platform 30 ft above the pool. He jumps from the platform with an initial upward velocity of 8 ft/s. Use the formula h(t)=-16t^2+vt+s where h is his height above the water, t is the time, v is his starting upward velocity and s is his starting height. How long will it take for him to hit the water?

• 30 sec

• 31 sec

• 1.645 sec

• 2 sec

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

• 1 foot

• 5 feet

• 7 feet

• 8 feet

• 12 feet