1 / 6

EXAMPLE 3

A study compared the speed x (in miles per hour) and the average fuel efficiency y (in miles per gallon) of cars. The results are shown in the table. Use a graphing calculator to find a model for the data. EXAMPLE 3. Use a quadratic model. Fuel Efficiency.

perryw
Download Presentation

EXAMPLE 3

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. A study compared the speed x(in miles per hour) and the average fuel efficiency y(in miles per gallon) of cars. The results are shown in the table. Use a graphing calculator to find a model for the data. EXAMPLE 3 Use a quadratic model Fuel Efficiency

  2. Make a scatter plot. The points form an inverted U-shape. This suggests a quadratic model. Use the quadratic regression feature to find an equation of the model. EXAMPLE 3 Use a quadratic model SOLUTION STEP 1 STEP 2

  3. Graph the model along with the data to verify that the model fits the data well. A model for the data isy= – 0.00793x2 + 0.727x + 13.8. ANSWER EXAMPLE 3 Use a quadratic model STEP 3

  4. ANSWER about 25.8 mi per gal for Example 3 GUIDED PRACTICE 3. Fuel Efficiency: Use the model from Example 3 to predict the average fuel efficiency of a car traveling 70 miles per hour

  5. 4. SOLUTION f (x) = – 0.000451x2 + 0.404x – 23.1 for Example 3 GUIDED PRACTICE Use a graphing calculator to find a model for the data. Then graph the model and the data in the same coordinate plane.

  6. 5. SOLUTION f (x) = 0.868x3 + 4.00x2 + 0.902x – 6.41 for Example 3 GUIDED PRACTICE

More Related