Question

A company produces accessories for smart phones and tablets. The profit on each smart phone case is $2 and the profit on each tablet case is $3. The company made a profit of $1,200 on the cases last month. The equation 2x + 3y = 1,200 represents the company's profit from cases last month, where x is the number of smart phone cases sold and y is the number of tablet cases sold.

2.Describe how you would graph this line using the slope-intercept method. Be sure to write in complete sentences.

Answer 1

2 x + 3 y = 1,200
3 y = - 2 x + 1,200   /:  3
The slope-intercept form of the equation is:
y = - 2/3 x + 400
0 = -2/3 x + 400
2/3 x = 400
x = 600
Therefore y-intercept is ( 0, 400 ) and x-intercept is ( 600, 0 )
Answer:
Draw a line passing through the points : ( 0, 400 ) and ( 600, 0 ).