Solving Quadratics Applications

A swimmer dives off of a platform into the water below. Determine when the diver hits the water using the equation below: -2t^2 + 1t + 15 = 0 t = time in seconds

• t = 6 sec.

• t = 3 sec.

• t = 5 sec.

• t = 1 sec.

Convert x²-9x+20 to factored form and solve.

• (x-10)(x+2); x=-2, 10

• (x+4)(x+5); x=-5, -4

• (x-4)(x-5); x=4, 5

• Not factorable

Tags

CCSS.HSA-REI.B.4B

Superman kicks a ball into the air. D(t) = -16t²+ 48t. When does the ball hit the ground? (Tap on the photo)

• 1 seconds

• 5 seconds

• 4 seconds

• 6 seconds

Solve the following equation: -x²+6x-5=0

(Hint - Find the x-intercepts!)

• x = -1, x = 5

• x = 3, x = 4

• x = 1, x = 5

• x = 2, x = 4

I can graph a quadratic equation and solve for its solutions using the x-intercepts.

• True

• False

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

When would you reach 16 feet above the water?

*If not ready for this question, type pass

Amelia runs a catering business. Based on her records, her profit is shown by P = 2x² - 44x -150, where x is the number of meals she caters and P is her profit. When P is negative, Amelia loses money. What is the least number of meals Amelia needs to cater in order to begin making profit?

*If you are not ready, type pass

Solve by factoring.

2x² + 7x = 15

• x = -1.5 and x = 5

• x= -3 and x = 5

• x = -5 and x = 1.5

• x = 3 and x = -5

Tags

CCSS.HSA-REI.B.4B

If path of a projectile is modeled by:  h(t) = -16t² + 20t +6

Initial Height   - (a)  

Height After 1 Second - (b)  

Initial Velocity - (c)  

• 6

• 20

• 42

• -16

• 10

A rock is dropped from a bridge 320 ft. above a river. The pathway that the rock takes can be modeled by the equation h = -16t² + 320. How long will it take for the rock to reach the river (i.e. hit the "ground")?

• 2.5 sec

• 3.5 sec

• 4.5 sec

• 3.8 sec