Question

VEHICLE TECHNOLOGY SALES The estimated revenues $r$ (in millions of dollars) from sales of in-vehicle technologies in the United States from 2003 through 2008 can be approximated by the model $r = 157.30t^2 + 397.4t + 6114, $3 \leq t \leq 8$ where $t$ represents the year, with $t=$ corresponding to 2003.(Source: Consumer Electronics Association) (a) Use a graphing utility to graph the model. (b) Find the average rate of change of the model from 2003 through 2008. Interpret your answer in the context of the problem.

Name: Problem 114, Chapter 1: Precalculus with Limits
Uploaded: 2020-06-03T00:22:46-08:00
Duration: 2 min 41 s
Channel: Heather Zimmers

   VEHICLE TECHNOLOGY SALES      The estimated revenues $r$ (in millions of dollars) from sales of in-vehicle technologies in the United States from 2003 through 2008 can be approximated by the model

$r = 157.30t^2 + 397.4t + 6114, $3 \leq t \leq 8$

where $t$ represents the year, with $t=$ corresponding to 2003.(Source:  Consumer Electronics Association)

(a)  Use a graphing utility to graph the model.

(b)  Find the average rate of change of the model from 2003 through 2008. Interpret your answer in the context of the problem.

Precalculus with Limits

Ron Larson 2nd Edition

Chapter 1, Problem 114

Instant Answer

Solved by Expert Heather Zimmers

06/03/2020

Step 1

We can use any graphing utility to do this. The function is $r = 157.30t^2 + 397.4t + 6114$, where $t$ is the year (with $t=3$ corresponding to 2003) and $r$ is the revenue in millions of dollars. The range of $t$ is from 3 to 8. Show more…

Show all steps

Thanks for your feedback!

VEHICLE TECHNOLOGY SALES The estimated revenues $r$ (in millions of dollars) from sales of in-vehicle technologies in the United States from 2003 through 2008 can be approximated by the model $r = 157.30t^2 + 397.4t + 6114, $3 \leq t \leq 8$ where $t$ represents the year, with $t=$ corresponding to 2003.(Source: Consumer Electronics Association) (a) Use a graphing utility to graph the model. (b) Find the average rate of change of the model from 2003 through 2008. Interpret your answer in the context of the problem.