Open the graphing tool from your tools and graph this system of equations. Then approximate the solutions to this system.
y = 3x2 + x − 6
y = x − 4
Round your answers to the nearest hundredth.
Chicken costs $1.85 per pound, and the beef costs $3.70 per pound. Let x represent the pounds of chicken and y represent the pound of beef. If he spent a total of $12.95, therefore:
1.85x + 3.7y = 12.95 (1)
He bought twice as much beef as chicken, therefore:
y = 2x
y - 2x = 0 (2)
Solving eqn 1 and eqn 2 simultaneously. Multiply equation (2) by 3.7 and subtract from equation (1)
9.25x = 12.95
x = 1.4 pounds
Also substitute x = 1.4 in equation 2:
y - 2(1.4) = 0
y = 2(1.4)
y = 2.8 pounds
The graph was plotted using geogra, the y coordinate of the point of intersection of the two lines, is the approximate pounds of beef.
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