18) The linear functionx)- 2.9x+35 models the percentage of people, fx), who gra

Question

18) The linear functionx)- 2.9x+35 models the percentage of people, fx), who graduated from college x years after 1998. Find and interpret the slope. A) m-35; the percentage of people graduating from college has increased at a rate of 35% per year since 1998 B) m-29; the percentage of people graduating from college has increased at a rate of 2.9% per year since 1998. C) m-29; the percentage of people graduating from college has decreased at a rate of 29% per year since 1998 D) m-"29; the percentage of people graduating from college has decreased at a rate of 2.9% per year sance 1998 Determine the intervals of the domain over which the function is continuous. 19) P(1, 0) 20) A) 10, ) 21) Find the requested value. 22)(-6) for fix) = f2x if x s-1 A) 3 B) -9 C)-12 D) 12 x-3, x-1 A) 7 B)-49 C) 58 D) 8 if x 27

Explanation / Answer

18.

f(x) = mx + c

f(x) =2.9x + 35

On comparing m = 2.9

and since m is positive it shows that percentage of people graduating from the college increased by 2.9% per year.

So option B is correct.

19. Graph is non-continuous at x = 1 . x shows the domain

So function is continuous at D) (-inf,1) U (1,inf)

20. Graph is continous at every value of x.

So answer is C) (-inf,inf)

21.

Graph is non-continuous at x = -3 . x shows the domain

So function is continuous at D) (-inf,-3) U (-3,inf)

22. f(-6) = 2x since x<-1

= 2* -6 = (C)-12

23 f(8) = x since x>=7

= D) 8

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