Think & Click: Real World Applications of Quadratic Functions
Now, you try. Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the problem to reveal the solution.
Find two consecutive even integers whose product is 14,160.
Throw out the negative value. If the first even integer is 118 then the next must be 120.
You have a garden in your backyard that is 10 yards by 14 yards. You want to build an irrigation ditch around the whole garden that has a uniform width. What is the width of the irrigation ditch if the area increases to 180 yd2?
Write the quadratic formula for this situation.
(2w + 10)(2w + 14) = 180
Multiply the binomials.
4w2 + 48w + 140 = 180
Subtract 180 from both sides.
4w2 + 48w – 40 = 0
Use the Quadratic Formula to Solve for w.
w = .78 or w = -12.78.
Throw out the negative solution.
w = .78 ydReview Worksheet
Complete the review worksheet for this section before taking the quiz. Download the review worksheet, complete the questions, and then download the answer key to check your work. Make sure to ask your teacher any questions.