Functions (quadratic)

A ball is thrown into the air with an initial velocity of 15 m/s. The height of the ball can be modeled by the equation h(t) = -2t^2 + 15t + 3, where h(t) represents the height of the ball at time t in seconds. How long does it take for the ball to reach its maximum height?

• 3.75

• 4.5

• 5.25

• 2.5

• 100 feet

• 64 feet

• 140 feet

• 88 feet

A restaurant wants to increase the price of a milkshake that currently costs $6. The restaurant has an employee conduct an analysis to predict the effect of the increased price on the weekly profit from milkshake sales. Based on the data collected, the employee makes the following graph. 

What is the profit at the current price of a milkshake

• $106

• $100

• $204

• $250

• $94

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.
What is the maximum height?

• 960 feet
• 1008 feet
• 1024 feet
• 1152 feet

What best describes the vertex in this scenario?

• The year with the highest concentration of residual CO2
• The year with the least concentration of residual CO2
• Residual concentration of CO2 is increasing
• Residual concentration of CO2 is decreasing

An object is thrown upward with an initial velocity of 35 meters per second. The object’s distance, d, above the ground at any time, t, can be represented by the equation (look at picture) . When will the object be 50 feet above the ground?

• t = 1 sec and t = 0.4 sec

• t = 2 sec and t = 5 sec

• t = 2 sec and t = 10 sec

• t = 5 sec and t = 10 sec

You are trying to dunk a basketball. You need to jump 2.5 feet in the air to dunk the ball. The height that your feet are above the ground is given by the function:
h(t) = -16t² + 12t
Will you be able to dunk the basketball?

• Yes
• No
• As long as I'm wearing Air Jordans

A ball is thrown from ground level straight up into the air at an initial velocity of 54 feet per second. The height of the ball tseconds after it is thrown is given by the formula h(t) = 54t − 16t². How many seconds after the ball is thrown will it return to the ground?

• 2.875

• 3.375

• 4

• 4.25

The following graph displays the HEIGHT of a projectile as a function of TIME. h (t)

**HOW LONG was the projectile in the air?

• 0 sec

• 1 sec

• 2 sec

• 3 sec

• 4 sec

A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 320 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed? Please select the correct "set up" for this problem.

• A(x) = x (320 - x)

• A(x) = 2x (320 - x)

• A(x) = 2x (320 - 2x)

• A(x) = x (320 - 2x)