ebre il Semester 1 Exam SUBMIT murtupre unoice: riease seiect urie best answer a

Question

ebre il Semester 1 Exam SUBMIT murtupre unoice: riease seiect urie best answer ano cHck SUDITIIL A vehicle's fuel economy is affected by its speed. The data on Spaller Auto's most popular vehicle is shown in the table below where x is the speed (mph) and Fx) is the fuel economy (mpg). Calculate the rate of change for the interval 35 s x s 45. F(x) 29.4 31.4 33.0 34.1 34.8 35.0 34.8 34.1 33.0 31.4 29.4 30 35 40 45 50 60 65 70 75 80 O A. 3.70 mpg/mph B. -0.27 mpg/mph ? ?. -3.70 mpgmph D. 0.27 mpg/mph

Explanation / Answer

X represents miles per hour,

F(x) represents fuel economy (mpg)

So, the rate of change can be obtained by finding

= (y2?y1)/( x2?x1)

= (F(X2) - F(x1)) / (x2-x1)

In given interval, x1 = 35 and X2 = 45

So, corresponding f(x1) = 31.4 and f(X2) = 34.1

Rate of change =

(34.1-31.4)/ (45-35)

= 2.7/10

= 0.27 is the answer. Option D

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