document.write( "Question 671625: At 68 degrees F, a certain species of cricket chirps 24 times per minute.At 40 degrees F, the same cricket chirps 86 \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A. express the number of chirps (y) as a linear function of the farenheit temperature (X)( hint: find the slope first).\r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "B. Interpet the slope in a sentence for this linear function.\r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "C. If the temperature is 60 degrees F how many times will the cricket chirp per min?\r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "D. If you count the number of cricket chirps in one half minute and hear 40 chirps,what is the temperature?times per min.
\n" ); document.write( "

Algebra.Com's Answer #417495 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
At 68 degrees F, a certain species of cricket chirps 24 times per minute.At 40 degrees F, the same cricket chirps 86
\n" ); document.write( "-----
\n" ); document.write( "Points: (68,24) and (40,86)
\n" ); document.write( "-----------------------------------\r
\n" ); document.write( "\n" ); document.write( "A. express the number of chirps (y) as a linear function of the farenheit temperature (X)( hint: find the slope first).
\n" ); document.write( "slope = (86-24)/(40-68) = 62/-28 = -(31/14)
\n" ); document.write( "----
\n" ); document.write( "Form: y = mx + b
\n" ); document.write( "substitute for y,x,m ; Solve for \"b\":
\n" ); document.write( "24 = (-31/14)68 + b
\n" ); document.write( "b = 174.57
\n" ); document.write( "------
\n" ); document.write( "Equation:
\n" ); document.write( "y = (-31/14)x + 174.57
\n" ); document.write( "------------------------------- \r
\n" ); document.write( "\n" ); document.write( "B. Interpet the slope in a sentence for this linear function.
\n" ); document.write( "When the temperature decreases 31, the # of chirps increases 14
\n" ); document.write( "===================================================================\r
\n" ); document.write( "\n" ); document.write( "C. If the temperature is 60 degrees F how many times will the cricket chirp per min?
\n" ); document.write( "Solve f(60)
\n" ); document.write( "===================\r
\n" ); document.write( "\n" ); document.write( "D. If you count the number of cricket chirps in one half minute and hear 40 chirps,what is the temperature?times per min.
\n" ); document.write( "# per minute would be 80
\n" ); document.write( "----
\n" ); document.write( "solve 80 = (-31/14)x + 174.57 for \"x\".
\n" ); document.write( "=========================================
\n" ); document.write( "cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );