Jenny is running in a charity event. One donor is paying an initial amount of $20.00 plus an extra $5.00 for every mile that jenny runs.
A. Write a function D9x) for the total donation for x miles run.
B. Find the inverse function.
C. What do x and D-1(x) represent in the context of the inverse function.

Answers

Answer 1

Answer: Here are all the answers for the previous question you asked with the worksheet it said you deleted the question so I put it all on this one.

1. (1,-2), (0,-5), (-1,-8), (2,-11)

2.(5,3), (8,4), (11,5), (14,6)

3.(11,5), (6,1), (1,-3), (-4,-7)

4.(3,0), (3,2), (3,4), (3,6)

5-6.   I can't see the number on the graph to well so maybe try making another question and send a better picture of the graphs

8. [tex]f^{-1}[/tex](x)=[tex]\frac{5x}{6}[/tex]+[tex]\frac{5}{2}[/tex]

9.[tex]f^{-1}[/tex](x)=[tex]\frac{3x}{4}[/tex]-[tex]\frac{1}{2}[/tex]

10. [tex]f^{-1}[/tex](x)=2x+[tex]\frac{1}{3}[/tex]

11. [tex]f^{-1}[/tex](x)=[tex]\frac{x}{9}[/tex]-[tex]\frac{4}{3}[/tex]

12. [tex]f^{-1}[/tex](x)=[tex]\frac{x}{5}[/tex]-6

13. [tex]f^{-1}[/tex](x)=[tex]\frac{7x}{2}[/tex]+[tex]\frac{3}{2}[/tex]

14. [tex]f^{-1}[/tex](x)=[tex]\frac{3x}{2}[/tex]+6

15. [tex]f^{-1}[/tex](x)=[tex]\frac{3x}{5}[/tex]+[tex]\frac{18}{5}[/tex]

16. [tex]f^{-1}[/tex](x)=-5x+12

17. [tex]f^{-1}[/tex](x)=[tex]\frac{-8x}{5}[/tex]+8

18. [tex]f^{-1}[/tex](x)=-2x-5

19. [tex]f^{-1}[/tex](x)=[tex]\frac{-5x}{2}[/tex]-[tex]\frac{3}{2}[/tex]

20.

a. D(x)=5x+20

b.[tex]D^{-1}[/tex](x)=[tex]\frac{x}{5}[/tex]-4

c. Every mile that Jenny runs


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