The Binomial Theorem and Polynomials in the Real World

The equation below represents an elevator's height after an amount of seconds. Using this equation, the height of the elevator after 14 seconds is _____ ft?

h(s) = -3.8s + 290

(number only for your answer)

The commission of a sales representative can be modeled by C(x) = 4n - 10, where n is the number of items sold OVER 10 items.  If the sales representative sales 40 items, how much commission will they earn?

• $20

• $120

• $5

• $110

The value of a particular car model t years after its purchased in 2017 is given by V(t) = 25000-3000t What is the car's value in 2023?

• $6850

• $7000

• $7500

• $8250

A toy rocket is launched from the top of a 48-foot hill. The rocket's height, h(x), is modeled by the

equation h(x) = -16x² + 32x +48 after x seconds. How high was the rocket at 2 seconds?

• 3

• 32

• 48

• 64

• 100

When Annie hits a softball, the height of the ball above the ground after t seconds is given by h = - 4.9t² +19.6t + 1.4 meters.

The height of the ball after 1 second is ______ meters.

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. After 1 second, the dolphin will be ____ ft high.

The linear model f(x) = 1.25x + 20 represents the sales in millions of dollars company made between 2010 -2020. Where x represents the the years since 2010? Which of the following years is an interpolation?

• 2000

• 2023

• 2015

• 1999

Tags

CCSS.HSF.BF.A.2

The linear model f(x) = 1.25x + 20 represents the sales in millions of dollars company made between 2010 -2020. Where x represents the the years since 2010? Which of the following years is an extrapolation?

• 2000

• 2013

• 2015

• 2019

What is the Standard form for a cubic function?

Expand the expression using the Binomial Theorem.

(2x+5)⁴

• 2x⁴ + 40x³ + 300x² + 1000x +625

• 16x⁴ + 160x³ +600x² +1000x + 625

• 16x⁴ + 1000x³ + 600x² + 160x +625