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.

1.Change the equation into slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all of your work.

Answer 1

@iPwnBunnies

Answer 2

Slope-intercept form is when you solve a linear equation for y:
\[y = mx + b\]

Answer 3

y=-2/3x+400

Answer 4

Yez ma'am.

Answer 5

Going back to the slope-intercept general form. 'm' will be the slope, and 'b' will be the y-intercept.

Answer 6

slope -2/3

Answer 7

intercept = 400

Answer 8

@iPwnBunnies

Answer 9

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

Answer 10

Yep,good job. && The y-intercept is where the line crosses the y-axis. So, we know that there is a point at (0,400). Then, we can trace the line using the slope, -2/3. This means we can trace two units down, then 3 units to the right for the next point.

Answer 11

3.Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.

Answer 12

@texaschic101