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Math Problem
i need help w/ this math problem:
Ed has a car needing repair. he has researched repari shops and found that Franks Body Shop charges a flat fee of $350 for any size job. manuels fix-it right shop cahrges a flat fee of $100 plus a rate of $50/hour. At what "repair time" would the two repari shops charge an equal amount? Who sould Ed employ if he know the repair will take 1 hour? who should he employ if the repairs will take 3 hours?
i have to define variables, write a system of equations and graph the system of equations, and solve the system of equations.
i got the following so far:
y=fee, x=cost
frank...... y=$350
Manuel..... y=50(x)+100
i dont know how to graph these or solve them. i know what i have is right cause i had my teacher check it. but now i'm stuck. Plez help. thank you so much!
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Maybe give some free advice about: School?
Graphing isn't all that bad. I'm sure you've seen a graph before but if not, it's basically a grid line with two main parts. the x-axis (the center of the grid line going horizontal) and the y-axis (the center of the grid lines going vertical). So to graph these, you just find the value of each one when y=0, for the frank one, it will be a straight line at the value of 350 because there is no variable other than that. For Manuel you find different values of y when you substitute soemthing for x and those are points on the line. Then you just connect the dots.
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Draw a graph and make sure that the upper right square is the biggest. You don't need the other 3 sections actually. Okay, spacing is going to be hard. I say convert the hours into minutes to make your life a little easier. Go up by 20's. Like start with a zero, skip a space, write 20, skip, write 40, etc for y & x-axis. On the x-axis, you only have to go up to 180, but go up to 200 just incase. For y-axis, you only have to go up to 360, but do 380 just in case, also.
For Frank, start by drawing a dot at 350 on the y-axis. From there just draw a straight horizontal line. So it extends from 350 on the y axis to the end of the paper. For Manuel's, I suggest you pick a different color to help you distinguish who's is who's but you don't have to. But for Manuel, draw a dot at 100 on the y-axis. Now, go up 50 spaces (so that you're at 150) on the y-axis, and go to the right 60 spaces. Do that several times until you end up at 250 on the y-axis and at 180 on the x-axis.
If you need me to check the answers to get, just send me another problem to my inbox. Heh I'm a math nerrddd
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To get at what repair time would they equal the same amount, solve 350=50x+100. At one hour frank would charge $350, but manuel would charge $150 because 50(1)+100=150. So for 1 hour choose manuel. At three hours frank would charge $350, but manuel would charge $250 because 50(3)+100=250. So for 3 hours choose manuel.
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