Quadratic Word Problems
I don't understand these problems at all..
2b. Melissa plans to put a fence around her garden while leaving a 10 ft. opening to get in and out. If she has 120 ft. of fencing, what is the maximum area this fencing can enclose?
3b. An airline transports an average of 800 passengers a week between Chicago and Springfield; however, the route has become unprofitable. A round-trip fare now costs $300, but a company executive estimates that for each $10 increase in the ticket price, ten passengers will be lost to the competition. If they need revenue of $280,000 per week to break even, can they make it profitable? What is the maximum profit they can make per week? How many customers will they lose?
5b. Tom and Bob are given Batman walkie-talkies for Christmas that claim a range of 5 miles. To test them they go to the corner of Elm and Spruce. Tom begins to walk north on Elm St. at a 3mph pace while Bob walks east on Spruce St. at a 2mph pace. How far did each walk before they faded out?
Those 5 separate problems need the following steps:
1. Identify the variable, either through drawing or English statement.
2. Create a quadratic equation that will represent the problem.
3. Solve the quadratic (either roots, vertex, or both)
4. Check using calculator
5. Write a sentence state what you have discovered
Help would be appreciated! Thanks :)
For 3b, so far I've got
What to do next?
For 5b, I've went as far as
Also, -1.5tē + 18t + 4 = 0 to quadratic formula would be what? If you could show me please..