Question Info

This question is public and is used in 3 tests or worksheets.

Type: Multiple-Choice
Category: Functions and Relations
Level: Grade 11
Standards: HSF-BF.A.1, HSF-BF.A.1b
Author: nsharp1
Created: 5 years ago

View all questions by nsharp1.

Functions and Relations Question

View Find Similar

View this question.

Add this question to a group or test by clicking the appropriate button below.

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1b

In general, an airplane's ground speed is equal to its airspeed plus the wind speed. A certain airplane is traveling due north, and its airspeed is approximately given by the function

$A(t) = -3.515t^6 + 63.267t^5 - 445.43t^4+1549.1t^3 - 2774t^2 +2425t + 17$ ,

$\ 0.5 <= t <= 5.5$ , where

$t$ is the time in hours since it left the airport, and

$A(t)$ is measured in km/h. The wind speed during this time, which is directly in a southerly direction, is approximately modeled by the function

$W(t) = 0.0069t^6 - 0.4t^5 + 5t^4 - 24.7t^3 + 52.3t^2 - 42t + 70$ ,

$\ 0 <= t <= 6$ , where

$t$ is the time in hours since the plane left the airport, and

$W(t)$ is measured in km/h. What is the ground speed of the plane for this period of time?

$(A+W)(t) = -3.5081t^6 + 63.667t^5 - 440.43t^4 + 1573.8t^3 - 2721.7t^2 + 2467t + 87$ , $\ 0 <= t <= 6$
$(A-W)(t) = -3.5219t^6 + 62.867t^5 - 450.43t^4 + 1524t^3 - 2826.3t^2 + 2383t - 53$ , $\ 0 <= t <= 6$
$(A+W)(t) = -3.5081t^6 + 62.867t^5 - 440.43t^4 + 1524.4t^3 - 2721.7t^2 + 2383t + 87$ , $\ 0.5 <= t <= 5.5$
$(A-W)(t) = -3.5219 t^6 + 63.667t^5 - 450.43t^4 + 1573.8t^3 - 2826.3t^2 + 2467t - 53$ , $\ 0.5 <= t <= 5.5$