Question

MEDAL AND FAN FOR ANSWER !
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

First let's change the equation from standard form to slope-intercept form.

Standard Form: \(Ax + Bx = C\)
Slope-Intercept Form: \(y = mx + b\)

\(2x + 3y = 1200\)

Subtract 2x to both sides:

\(3y = -2x + 1200\)

Divide 3 to all terms:

\(\dfrac{3y}{3} = \dfrac{-2}{3}x + \dfrac{1200}{3}\)

Can you simplify that? @Kidthatbro8

Answer 2

\(y = -\dfrac{2}{3}x + (1200 \div 3)\)

Just divide 1200 / 3. What do you get? @Kidthatbro8

Answer 3

it's 4000.

Answer 4

4000?

Answer 5

I think you made a typo, check again.

Answer 6

400, sorry ^^

Answer 7

Right, so that gives us:

\(y = -\dfrac{2}{3}x + 400\)

Now it's in slope intercept form:

\(y = mx + b\)

Where m = slope, and b = y-intercept.

So what's the slope and y-intercept of our equation?

\(y = -\dfrac{2}{3}x + 400\)

Answer 8

the y-intercept is 400, i think.

Answer 9

Yep, and what's the slope?

Answer 10

2/3.

Answer 11

Almost.

It's -2/3.

Answer 12

Now let's find the x-intercept, by plugging in 0 for y:

\(y = -\dfrac{2}{3}x + 400\)

\(0 = -\dfrac{2}{3}x + 400\)

Subtract 400 to both sides:

\(-400 = -\dfrac{2}{3}x\)

Multiply -3/2 to both sides:

What's -3/2 * -400? @Kidthatbro8

Answer 13

600?

Answer 14

Right so we have our y-intercept(0, 400) and our x-intercept (600, 0).

Now to graph it we can just draw a line through these two points.

Answer 15

That answers your question..

Answer 16

thank you !