1 / 8

Using linear equations to solve word problems

Using linear equations to solve word problems. Usually deal with changes over time. Y intercept does not change Slope does change .

caldwell-dunlap
Télécharger la présentation

Using linear equations to solve word problems

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Using linear equations to solve word problems Usually deal with changes over time.

  2. Y intercept does not changeSlope does change • Example: Kim wants to rent a car on the Big Island. Mr. Lee’s Rentals rents cars for $99.00 for one week plus $0.11 per mile over 100 miles. If Kim drives 400 miles, how much does she pay?

  3. y=mx +/-b. y = .11x +99 • The weekly rental rate does not change. It is the y-intercept, and it’s $99.00. • The amount of miles changes, so it is the slope. The slope is the rate of change: $.11 per mile over 100 miles. • Let x = the number of miles she drives over 100 miles.

  4. Example #2: y=5x+10 • Bobby charges $10. per lawn he mows, and an additional $5. per hour. • What does not change? What is the y-intercept? $10.00 per lawn • What changes? What is the slope? The $5. per hour depending on how many hours it takes to mow the lawn • Let x = the number of hours it takes to mow a lawn.

  5. Create a My Way • Make up a word problem where something is constant (does not change) and something does change. • State the y-intercept • State the slope • State what the variable (the “x”) is

  6. Examples of Word Problems for My Way • Cell Phone: $50. monthly rate + .12 cents a minute over 300 minutes. Let x = # of minutes over 300. • T-shirt company charges $24. per order plus $12.00 per shirt. Let x = the # of shirts ordered. Yoga classes: $10 for sign-up plus $5. per class

  7. STEPS IN SOLVING WORD PROBLEMS WITH LINEAR ALGEBRA • 1. Define the variable that you want to find with a let statement. Let x = …. • 2. Create an equation that expresses the information given in the problem’s scenario. Decide on the y-intercept and the slope (rate of change) • 3. Solve your equation using algebraic methods. • 4. Consider if your answer is reasonable. • 5. Label your solution appropriately. • 6. Check your answer with the conditions given in the problem.

  8. Practice Problems • Exercise #1: At a concert, Nabila purchased three t-shirts and a concert program that cost $15. In • total, Nabila spent $90. Find the cost of a single t-shirt if they all had the same price.

More Related