document.write( "Question 118844: This is a worksheet so i cant fill out the top.\r
\n" ); document.write( "\n" ); document.write( "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. a newly-started high school hopes to enroll 80 students in its first year and to increase enrollment by 40 students per eyar over the next five years.\r
\n" ); document.write( "\n" ); document.write( "5. temperature on the Fahrenheit scale is a linear function of temperature on the Celsius scale. Ten degrees Celsius equals 50 degrees Fahrenheit, and 25 degrees Celsius equals 77 degrees Fahrenheit. \r
\n" ); document.write( "\n" ); document.write( "(the temperature one really confuses me.)
\n" ); document.write( "Thanks for taking your time on reading this! \n" ); document.write( "
Algebra.Com's Answer #87198 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
1. a newly-started high school hopes to enroll 80 students in its first year and to increase enrollment by 40 students per year over the next five years.
\n" ); document.write( "Let y = no. of students
\n" ); document.write( "Let x = no. of years
\n" ); document.write( ":
\n" ); document.write( "y = 40x + 80; on the initial opening of the school x=0
\n" ); document.write( ":
\n" ); document.write( "Plot it from x = 0 to x = 5:
\n" ); document.write( " x | y
\n" ); document.write( "-------
\n" ); document.write( " 0 | 80
\n" ); document.write( " 1 | 120
\n" ); document.write( " 5 | 280
\n" ); document.write( ":
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-2%2C+5%2C+-20%2C+300%2C+40x+%2B+80%29+\"
\n" ); document.write( ":
\n" ); document.write( "Negative values for x are not valid since the school did not exist before x=0
\n" ); document.write( "Same with negative values for y, negative students
\n" ); document.write( "(However, the existence of negative students is a debatable point)
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\n" ); document.write( ":
\n" ); document.write( "5. temperature on the Fahrenheit scale is a linear function of temperature on the Celsius scale. Ten degrees Celsius equals 50 degrees Fahrenheit, and 25 degrees Celsius equals 77 degrees Fahrenheit.
\n" ); document.write( ":
\n" ); document.write( "Recall the formula for converting temp: F = \"9%2F5\"C + 32
\n" ); document.write( ":
\n" ); document.write( "Let x = C, and y = F
\n" ); document.write( "Plotting table using the given values:
\n" ); document.write( " x | y
\n" ); document.write( "-------
\n" ); document.write( "10 | 50
\n" ); document.write( "25 | 77
\n" ); document.write( ":
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-50%2C+100%2C+-50%2C+220%2C+%289%2F5%29x%2B32%29+\"
\n" ); document.write( ":
\n" ); document.write( "Negative values are certainly valid here, It's interesting that at -40 degrees
\n" ); document.write( "Celsius and Fahrenheit are equal
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\n" ); document.write( "Did this help, any questions?
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