Answered: Elena's family is driving on the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Question

Elena's family is driving on the freeway at 55 miles per hour. Andre's family is driving on the same freeway, but not at a constant speed. The table shows how far Andre's family has traveled, d, in miles, every minute for 10 minutes.

7.4
It's Not a Race
Elena's family is driving on the freeway at 55 miles per hour.
Andre's family is driving on the same freeway, but not at a constant speed. The table
shows how far Andre's family has traveled, d, in miles, every minute for 10 minutes.
1
2
3
4
6.
9.
10
d
0.9
1.9
3.0
4.1
5.1
6.2
6.8
7.4
8.
9.1
1. How many miles per minute is 55 miles per hour?
2. Who had traveled farther after 5 minutes? After 10 minutes?
3. How long did it take Elena's family to travel as far as Andre's family had traveled after 8
minutes?

Expert Solution

Step 1

Given:

Elena's family is driving on the freeway at 55 miles per hour.
Andre's family is driving on the same freeway, but not at a constant speed. The table shows how far Andre's family has traveled $d$ , in miles, every minute for 10 minutes.

$t$	1	2	3	4	5	6	7	8	9	10
$d$	0.9	1.9	3.0	4.1	5.1	6.2	6.8	7.4	8	9.1

To find:

How many miles per hour is $55$ miles per hour?
Who had traveled farther after $5$ minutes and $10$ minutes?
How long did it take Elena's family to travel as far as Andre's family had traveled after $8$ minutes?