Question

Write three functions. In the first function, y should vary directly with x. In the second function, y should vary inversely with x. In the function, the relationship between x and y should be neither inverse variation nor direct variation. Describe the graph of each function and give a real world example for each.

Answer 1

1)y varies directly with x , k= 5/3 x=9, y=5/3x=5/3(9)=15 example: i want to buy some candy canes and the cost per pound is $9.00 how much will it cost to buy 3 pounds? how much would a half pound cost. description: since k is constant we can find k by dividing y coordinate by the x coordinate, y1/x1=k y2/x2=k. 2) y varies inversely with x, k=5/2, x=10, xy=5/2 - 10y=5/2 - y=5/2*1/10=1/2*1/2=1/4 example: if i get paid $10 dollars an hour, how much will i make in 12 hours? description: since k is constant, i can find k given any point by multiplying x coordinate by the y coordinate, x1y1=k - x2y2=k , the lines never cross the axes 3) y=2x-3 description': the graph crosses through the points -3 an 1.5 and it's a single line.

Answer 2

I dont know that either i am actually trying to figure that out now
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