Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

the highest point in North Carolina is Mt. Mitchell at an elevation of 2,037 meters above sea level. Suppose the position of a hiker is given by the function p(t)=2.5t+2037, wheret is the number of minutes. Which of the following is the best interpretation of the slope of the function?

FThe hiker’s initial position was 2307 feet below sea level.

GThe hiker’s initial position was 2037 feet above sea level.

HThe hiker is descending at a rate of 2.5meters per minute.

JThe hiker is ascending at a rate of 2.5meters per minute.

Short Answer

Expert verified

The hiker is descending at a rate of2.5 meters per minute.

Step by step solution

01

Step 1. Plot the graph.

Plot the given function, p(t)=2.5t+2037.

02

Step 2. Observation.

From the graph it can be observed that the slope of the function has negative sign, therefore, it is descending with the time.

03

Step 3. Write the conclusion.

From the given equation, it can be observed that the hiker is descending at a rate of2.5

meters per minute.

Therefore, optionH is the required answer.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.

Sign-up for free