Question 104736: I'm in grade 10 math and have finished solving word problems using linear systems. We were given a sheet where I now have to try and make up a linear solution using the given variables, but I'm having trouble trying to work this out and my parents are unsure also. The question is below and if you could help me it would be greatly appreciated.
Question: Make up a word problem that you can solve using a linear system. The solution is (5,35).
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Question: Make up a word problem that you can solve using a linear system. The solution is (5,35).
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Since you have a choice, choose a convenient slope, say +2, then use the
point/slope equation which is y - y1 = m(x - x1)
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In our problem x1 = 5; y1 = 35; m = +2 (which we chose)
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y - 35 = 2(x - 5)
y - 35 = 2x - 10
y = 2x - 10 + 35
y = 2x + 25; this our equation
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Now think of the word problem that fits this equation.
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Example: You rent a U-haul truck. It cost $25 per day + $2 a mile
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y = total daily cost, and x = number of miles driven per day
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Therefore, if you drive it 5 mi (x) then cost will be $35 (y), right?
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