No Service 808 PM 59 imathasrationalreasoningnet Pathways I

No Service 8:08 PM 59% ) imathas.rationalreasoning.net Pathways IMathAS Assessment Omar Cars.com Course Messages Forums Calendar Gradebook Log Out Home > 1730-001 Summer 2017> Assessment Abdulaziz Yousef M3 13 Homework Due in 3 hours, 51 minutes. Due Thu 06/29/2017 1:59 pm Show Intro/Instructions Questions After stopping at a gas station, a car begins to move and get back onto the highway The function f gives the distance in feet of the car from the gas-station as a function of t, the number of minutes since the car left the gas station and f(t) = 0.25 + 6t C Q2 (0.5/1) C Q3 (0.3/1) a. What is the meaning of f (7.5)- f(3)? The number of minutes elapsed as the car moved from the 3 foot mark to the 7.5 foot mark The average speed of the car from t-3 to t 7.5 minutes °The increase in the speed of the car as the car moved from the 3 foot mark to the 7.5 foot mark °The average speed of the car as the car moved from the 3 foot mark to Grade: 8.8/10 the 7.5 foot mark The number of feet the car traveled as the number of minutes since the car left the gas station increases from 3 to 7.5 minutes Print Version b. What is the average speed of the car as it travels during the time interval from 1.9 minutes to 2.5 minutes after leaving the gas station? feet per minute Preview Points possible: 1 Unlimited attempts. Score on last attempt: 0.5. Score in gradebook: 0.5 Submit

Solution

b)

f(1.9) = position when t = 1.9
f(1.9) = 0.25(1.9)^2 + 6(1.9) = 12.3025

f(2.5) = 0.25(2.5)^2+ 6(2.5) = 16.5625

Now, average speed is
f(2.5) - f(1.9) / (2.5 - 1.9)

(16.5625 - 12.3025) / (2.5 - 1.9)

7.1

So, avg speed = 7.1 feet per minute -----> ANSWER

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1950 was year 0

So, 1945 is year -5

So, we\'d have w(-5)

w(-5) ---> ANSWER

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1926 is t = -24
and 1990 is t = 40

So, it is

(w(40) - w(-24)) / (40 - (-24))

(w(40) - w(-24)) / 64 -----> ANSWER