document.write( "Question 391304: . Calib received $50 for his birthday that he put in his piggy bank. Each week, he puts 2 more dollars in his bank so that the amount of money in dollars D in his bank is given by D = 2w + 50 where w is the number of weeks. Is this model linear, and, if so, what is the slope and y-intercept?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #277606 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! If thia model is linear, you need to change the d to x and w to y: \n" ); document.write( "x=2y+50\r \n" ); document.write( "\n" ); document.write( "Since y is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation. \n" ); document.write( "2y+50=x\r \n" ); document.write( "\n" ); document.write( "Since 50 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 50 from both sides. \n" ); document.write( "2y=-50+x\r \n" ); document.write( "\n" ); document.write( "Move all terms not containing y to the right-hand side of the equation. \n" ); document.write( "2y=x-50\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 2. \n" ); document.write( "(2y)/(2)=(x)/(2)-(50)/(2)\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors. \n" ); document.write( "y=(x)/(2)-(50)/(2)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "y=(x)/(2)-25\r \n" ); document.write( "\n" ); document.write( "To find the slope and y intercept, use the y=mx+b formula where m=slope and b is the y intercept. \n" ); document.write( "y=mx+b\r \n" ); document.write( "\n" ); document.write( "Using the y=mx+b formula, m=(1)/(2) and b=-25. \n" ); document.write( "m=(1)/(2), b=-25 \n" ); document.write( " |