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ways IMathAS Assessme x Use The Graphs Of Y-Rt)A: Secure https://imathas.rationalreasoning.net/assessment/showtest.php?action skip&to; 11 Jessie travels around the world and keeps track of how the elevation of the city above sea level affects her running ability. The graphs below show how the numb of miles she can run varies with the number of minutes she can run and how the number of minutes she can run varies with the elevation of the city (in feet), 50 h=f(x) 30 20 10 20 t0 40 50 1000 2000 3000 4000 5000 the number of minutes Jessie can run Jesse's elevation above sea level (in feet) a. What is the maximum distance in miles Jessie can run at 2500 feet? miles Preview b. Consider the relationship that gives the maximum distance Jessie can run (in miles) in terms of the elevation of the city she is running in (in feet). i. Is this relationship a function? Select an answer ii. What is the independent (imput) quantity? Select an answe ii. What is the dependent (output) quantity? Select an answer c. The graphs above give f() in terms of z (graph on left) and g(v) in terms of y (graph on right). i. What does z represent? Select an answer

Explanation / Answer

a) The number of minutes are 45 minutes and corresponding to that she can run 5 miles at 2500 feet

b) x=g(y)

h=f(x) = f(g(y))=> h=f(g(y))

i) Yes the relationship is a function

ii) The independent input quantity is y that is jesse's elevation above the sea level (in feet)

iii) The dependent output quantity is h that is jesse's distance she can run in (miles)

c) i) x represents the number of minutes Jesse can run

ii) f(x) represents the number of miles jesse can run corresponding to the number of minutes

iii) y represents Jesse's elevation above sea level (in feet)

iv) g(y) represent the number of minutes she can run corresponding to the Jesse's elevation above sea level

v) f(g(y)) represent the number of miles Jesse can run corresponding to her elevation above sea level

vi) g(f(x)) is not defined

d) False

ii) False

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