Modeling with Quadratic Equations — Quiz Answers

An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h of t is equal to 144 minus 16 t squared How many seconds will it take the object to reach the ground?

Idris plans to build a sidewalk around a 10 -yard-long square garden. The garden and sidewalk must cover a total area of 400 square yards. Since the garden is a square, each side of the garden plus sidewalk will measure (10+2⁢w) yards. What is the width, w , of the sidewalk needed? Enter your answers in the boxes.

The product of two numbers is 713 The first number is 9 more than the second number. Which equation can be used to find x , the greater number?

The product of two numbers is 450 The first number is half the second number. Which equation can be used to find x , the greater number?

The product of two consecutive integers is 342 Which quadratic equation can be used to find x , the greater number?

The product of two consecutive integers is 272 Which quadratic equation can be used to find x , the smaller number?

Noah spends a total of $⁢4,000 to install a rectangular patio. The width of the patio is 5 feet longer than its length, l feet. Given the installation cost of $⁢8 per square foot, write an equation that Noah can use to determine the side lengths of the patio. Enter your answers in the boxes.

The product of two numbers is 240 The first number is 8 less than the second number. Which equation can be used to find x , the lesser number?

The product of two consecutive positive integers is 812 What is the value of the lesser integer?

Which quadratic equation can be used to find s , the side length of the square quilt?