Quadratic Table Best Estimate

Based on the table, which function can best be used to model this situation?

• h(t) = 99t² + 858

• h(t) = -4.9t² + 295t + 0.6

• h(t) = -4.9t² + 295t + 2

• h(t) = 99t² + 1,470.3

Estimate the height of the ball at 60 seconds.

• 60.57

• 10.35

• 85.64

• 175.12

Determine the curve of best fit.

• y = -2.7x + 7.4

• y = 0.95x² - 2.08x - 0.75

• y = -.05x - 3.26

• y = 0.95x² + 2.08x + 0.75

A projectile is launched into the air. It is launched from a base that is 7 feet off the ground.

The projectile was then spotted at the following coordinates (5, 22) (10,27) and (16, 19.8).

• y = -1/4x² + 3x + 4

• y = 1/4x² + 3x + 4

• y = 1/5x² + 4x + 7

• y = -1/5x² + 4x + 7

A catapult launches a rock into the air. The rock is launched from a catapult that is 4 feet off the ground.

The rock was then spotted at the following coordinates (10, 74) (15,101.5) and (24, 138.4).

• y = 1/10x² + 4x + 1

• y = -1/10x² + 4x + 1

• y = -1/10x² + 8x + 4

• y = 1/10x² + 8x + 4

A pumpkin tossing contest is held each year in Morton, Illinois, where people compete to see whose catapult will send pumpkins the farthest. One catapult launches pumpkin from 25 feet above the ground at a speed of 125 feet per second. The table shows the horizontal distances (in feet) the pumpkins travel when launched at different angles.

• -.3x² + 22.6x + 23

• -.2x² + 22.6x + 23

• .3x² + 22.6x + 23

• .2x² + 22.6x + 23

Find the height of the ball when it traveled a distance of 10 feet.

• 12.8 ft
• 13.3 ft
• 11.1 ft
• 17 ft

Find the equation for (-5,80) (-1,28) ( (3,8) then find y if x = 7

• 20

• 66

• 120

• 178

Find the equation for (-5,5) (-1,13) ( (3,53) then find y if x = 7

• 68

• 104

• 125

• 173

Find the population for 1975.

• 623 thousand people
• 650 thousand people
• 599 thousand people
• 513 thousand people