document.write( "Question 118770: Model each situation with a linear function and graph. Is it reasonable to include negative numbers in the range?\r
\n" ); document.write( "\n" ); document.write( "1.The weight of a bucket of golfballs is a function of the number of balls, each of which weighs 1.6 oz. The bucket itself weighs 2 lb.\r
\n" ); document.write( "\n" ); document.write( "2.It costs a farmer a $110 to bring 150 pounds of tomatoes to market, and the tomatoes sell for $2 per pound. The difference between the income from sales and the cost is the farmer's profit.\r
\n" ); document.write( "\n" ); document.write( "I'm sorry for asking so much. But my teacher told us to do our best, yet my best isnt good enough. Thanks sooo much! I Hope you answer soon! \n" ); document.write( "
Algebra.Com's Answer #86912 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
1.The weight of a bucket of golfballs is a function of the number of balls, each of which weighs 1.6 oz. The bucket itself weighs 2 lb.
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\n" ); document.write( "Let x = no. of golf balls
\n" ); document.write( "Let y = total weight of the golf balls including the bucket (in oz)
\n" ); document.write( "Since the balls are in oz, change the bucket weight to oz; 2 * 16 = 32
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\n" ); document.write( "the total weight of the balls only, would be 1.6 * x, or just 1.6x
\n" ); document.write( "The equation including 1 bucket:
\n" ); document.write( "y = 1.6x + 32
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\n" ); document.write( "Plot this equation from 0 to 25, it should look like this graph:
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-5%2C+30%2C+-10%2C+100%2C+1.6x%2B32%29+\"
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\n" ); document.write( "2.It costs a farmer a $110 to bring 150 pounds of tomatoes to market, and the tomatoes sell for $2 per pound. The difference between the income from sales and the cost is the farmer's profit.
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\n" ); document.write( "Let x = no. of lbs of tomatoes up to 150 lb
\n" ); document.write( "Let y = profit
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\n" ); document.write( "Income would be 2x
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\n" ); document.write( "Subtract the cost of bringing them to market: 110
\n" ); document.write( "The profit if he sold 150 lb:
\n" ); document.write( "Profit = 2(150) - 110
\n" ); document.write( "Profit = 300 - 110
\n" ); document.write( "Profit = $190
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\n" ); document.write( "The graph shows what happens when he sell less than 150 lb
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\n" ); document.write( "Note that he has to sell: 2(55lb) = 110 to break even
\n" ); document.write( "Below 55 lb he will lose money, hence y is negative
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\n" ); document.write( "y = 2x - 110
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\n" ); document.write( "Plot this graph\r
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\n" ); document.write( "\"+graph%28+300%2C+200%2C+-100%2C+150%2C+-100%2C+300%2C+2x-110%29+\"
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\n" ); document.write( "Negative values are useful in the tomato problem but not in the golf ball problem
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\n" ); document.write( "Did you understand this and did it help you?
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