Homework SourseM3i5 6 You D Pathways lMathAS Assess e M3i5 5 Cheggcom ht
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You D Pathways lMathAS Assess × e M3i5 #5 | Chegg.com -> https://imathas.rationalreasoning.net/assessment/showtest.php?action-skip&to;=5 For quick access, place your bookmarks here on the bookmarks bar. Import bookmarks now... Due Wed 04/27/2016 11:59 pm Show Intro Instructions ulia began driving from Denver, Colorado to Santa Fe, New Mexico. When she was 120 miles from Denver, she engaged her cruise control to travel at a constant speed. Ninety minutes later, she was 223.5 miles from Denver. The fiunction f gives Julia\'s distance from Denver (in miles) in terms of the number of minutes elapsed since she engaged the cruise control, t Questions a. Determine a rule for the function f where t 2 0. Use exact values in writing the function definition. C Q 2 (0.3/1) f(t) Preview C Q 4 (0.7/1) Q5 (0.7/1) Q6 (0/1) b. What does f(141) represent in this context? OJulia a distance from Denver (in miles) 141 minutes after engaging cruise control o Multiplying Julia\'s distance from Denver (in miles) by 141 to get the number of minutes elapsed since Julia engaged cruise control C Q9 (0.5/1) Q 10 [1/1] Multiplying the number of minutes that have elapsed since Julia engaged cruise control by 141 to get Julia\'s distance from Denver (im miles) The number of minutes elapsed since Julia engaged cruise control when she was 141 miles from Denver Q 12 [1/1] Q 13 [1/1] C Q 14 (0/1) Q 15 [1/1] Q 16 [1/1] C Q 17 (0/1) c. What does 141)represent in this context? o Julia\'s distance from Denver 141 minutes after engaging cruise control The number of minutes elapsed since Julie engaged cruise control when her distance from Denver was 141 miles 0 1 / (Julia\'s distance from Denver 141 minutes after engaging CC) 0 1 / (number of minutes elapsed smce engagmg crise control when she was 141 miles from Denver) Q 19 [1/1] Grade: 14.2/19 d. Evahuatef (141) and specify the units Select an answer | Preview Print Version e. Determine the function rule for f where r 120 PrevieV f. The imdependent (imput) quantify of function f is Select an answer g. The dependent (output) quantity of f is select an answer Points possible: 1 Unlimited attempts. Post this question to forum 1:34 PM 4/26/2016Solution
a. Julia engaged Cruise control after travelling 120 miles from Denver
After 90 mins she was 223.5 miles away from Denver
It means in 90 mins she travelled 223.5 - 120 = 103.5 miles with constant speed.
Julia\'s speed with Cruise control per minute is 103.5 / 90 = 1.15 miles
The function f to give the no of miles Julia is from Denver after t minutes of engaging cruise control is
f(t) = 120 + 1.15t
b. f(141) indicates Julia\'s distance from Denver, 141 minutes after engaging Cruise Control.
c. f-1(141) indicates the time elapsed in minutes since Julia engaged Cruise Control when her distance from Denver was 141 miles.
d. f(t) = 120 + 1.15t
assume m = 120 + 1.15t
t = (m - 120)/1.15
f-1(t) = (t - 12)/1.15
f-1(141) = (141 - 120)/1.15 = 21/1.15 = 18.26 minutes
e. The function rule for f-1 for x >= 120 is
f-1(x) = (x - 120)/1.15
f. The independant quantity of input for f-1 is distance from Denver if it is more than or equal to 120
h. The dependant quantity of output for f-1 the no of minutes elapsed since julia engaged Cruise Control
