A dolphin jumps from the water. The equation $h\left(t\right)=-8t^2+16t$   models the dolphin's height at any given time, t. You want to know the maximum height the dolphin jumps -- what do you need to find on the parabola?

 You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation  $h(t)=-4t^2+2t$  models her jump where h is her height in feet t seconds after the mummy scares her. You want to find when she reached her maximum height -- what do you need to find on the parabola?

A lizard is jumping across the water in search of food. The equation  $h\left(t\right)=-12t^2+6t$   models the lizard's height in feet above the water t seconds after he jumps. If you want to know how long after jumping until he is back on the water -- what do you need to find on the parabola?

Your nephew is standing on a deck and tossing his toy up into the air. The equation
 $h\left(t\right)=-2t^2+7t+4$   models the toy's height, h, from the ground at t seconds after he threw it. You want to know how tall the deck is -- what part of the parabola do you need to find?

Fireworks are fired from the roof of a building. The equation $h\left(t\right)=-16t^2+84t+100$   models the height, h, of the fireworks at any given time, t. You want to  know how high the building is -- what part of the parabola do you need to find?

A golf ball is hit and the equation  $h\left(t\right)=-6t^2+27t$  models the golf ball's height in feet t seconds after the ball was hit. You want to know how long after being hit the ball reaches the maximum height -- what part of the parabola do you need to find?

Your friend passes you the ball during a soccer game. The height off the ground is modeled by the equation  $h\left(t\right)=-4t^2+12t$ .  You want to know when the soccer ball will hit the ground -- what part of the parabola do you need to find?

A toy rocket is launched from the top of a hill. The rocket's height, h, is modeled by the equation  $h(x)=-16x^2+32x+48$  after x seconds. You want to find out tall the hill is -- what part of the parabola do you need to find?

A diver jumps from a platform above a pool. His height above the water is modelec by the formula  $h\left(t\right)=−16t^2+8t+24$ .  You want to know how long it takes him to reach his maximum height -- what part of the parabola do you need to find?

Rafael drops a ball from a third-story window. This equation  $h\left(t\right)=-5t^2+45$   represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.  You need to know the initial height of the ball -- what part of the parabola do you need to find?

Mrs. K throws a stone off a bridge into a river below. The stone's height (in meters above the water), x seconds after shethrew it, is modeled by:  $h(x)=-5x^2+10x+15$ . You need to know when the stone will hit the water -- what part of the parabola do you need to find?

The height of a water balloon that is launched into the air is given by $h(t)=-5x^2+20x+25$ . You need to find the maximum height of the water balloon -- what part of the parabola do you need to find?

Read the word problem below and determine which function is a correct representation.

A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every machine he sells. Write an equation that shows the total amount of income the salesperson earns, if he sells x machines in a year.

Maggie is knitting blankets for the residents of a local nursing home. She already has 6 blankets completed. After one week, Kay has 8 blankets. After two weeks, Kay has 10 blankets. Kay's scenario is best represented by a _______________ function.

You want to make a box to contain dirt and your pet earthworm. Using a 7 in by 10 in rectangle of cardboard, you cut congruent squares from the corners and fold up the sides.

Choose the equation would you use in order to find the maximum volume of dirt the box can hold?

Farmer Jo has 32 square feet of land in which to make an enclosure for bunnies, chicks, and penguins. (see picture)

Choose the equation that represents this information.

A square piece of green origami paper that is 6 inches on a side is being made into a gift box (with no lid) by cutting congruent squares out of each corner, folding up the sides, and taping the edges.

What size squares should you cut out for maximum volume? (do the whole problem)

A farmer wants to construct a rectangular pigpen using 400 ft of fencing. The pen will be built next to an existing stone wall, so only three sides of fencing need to be constructed to enclose the pen. What dimensions should the farmer use to construct the pen with the largest possible area?

Calculate the revenue if a business sells 20,000 units at £2 each

Calculate the revenue if a business sells 80,000 units at $2.50 each

Business A has £5000 fixed costs per month. The variable costs per item they make and sell is £3. What is the businesses total costs if they make and sell 10,000 units.

Which formula calculates profit.