Tuesday, 16 February 2016

Ashlee repairs DVD players. She charges $25 To inspect the problem and $20/h to repair the device.a) write an equation to model this relation.b)...

 a) Denote the number of hours it takes Ashlee to repair a DVD by h. Then, the amount of money M Ashlee would charge to repair a DVD, in dollars would be 


M = 25 + 20


($25 to inspect and $20 per hour to repair)


b) A sample table of values would be


h    M


1    45


2     65


3     85


4    105


c) The graph...

 a) Denote the number of hours it takes Ashlee to repair a DVD by h. Then, the amount of money M Ashlee would charge to repair a DVD, in dollars would be 


M = 25 + 20


($25 to inspect and $20 per hour to repair)


b) A sample table of values would be


h    M


1    45


2     65


3     85


4    105


c) The graph of M = 25 + 20is shown below. 



 d) If Ashlee charged $55 to repair a DVD, it means M = 55. The horizontal line with the equation M = 55 crosses the graph of the relation at the point with the coordinates (1.5, 55). This means it took Ashlee 1.5 hours to repair the DVD. This could be checked algebraically by plugging in h = 1.5: 


25 + 20*1.5 = 55. For 


For h = 1.5, M = 55.


e) If it took Ashlee 4.5 hours to repair a DVD player, then h = 4.5. The vertical line with the equation h = 1.5 will cross the graph of the relation at the point with the coordinates (4.5, 115). Ashlee would charge $115 to repair this DVD:


for h = 4.5, = 25 + 20*4.5 = 115.







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