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.

Question

lena772 · Answer

Suppose in the next month, the total profit on smart phone cases and tablet cases is $1,500. The profit amounts are the same, $2 for smart phone case and $3 for the tablet case. In a paragraph of at least three sentences, explain how the graphs of the functions for the two months are the same and how they are different. Be sure to use complete sentences.

lena772 · Answer

they have same slope, what else?

anonymous · Answer

hmm......

anonymous · Answer

are you sure they have same slopes?

lena772 · Answer

I'm pretty sure, I might be wrong though

anonymous · Answer

okay the slopes are equal ...

anonymous · Answer

the lines are parallel

lena772 · Answer

2x + 3y = 1,500
3y=-2x+1500
y=-2/3x+500

anonymous · Answer

both the lines are parallel

lena772 · Answer

That's the y value for the second month right?

anonymous · Answer

wait what is you objective?

lena772 · Answer

Similarities and differences of the function for month 1 and month 2

lena772 · Answer

the similarities are the same slope, and you said this also means they are parellel

lena772 · Answer

the graph of the function, not the function.

anonymous · Answer

similarities : same slopes ... 
differences : y intercepts and x intercepts are different ...

anonymous · Answer

hmm..... what else?

anonymous · Answer

similar distances between any point b/w them

lena772 · Answer

How do you calculate the x-intercept?

anonymous · Answer

take value of y=0

lena772 · Answer

ok... :/

lena772 · Answer

and what do you mean similar distances

anonymous · Answer

okay i think i go the similarities part
1)same slope
2)both are not parabolas ir straight lines
3)both are parallel
4)both are separated by a constant distance
i dunno .. i guess this might me correct

lena772 · Answer

Why are they not straight lines?

anonymous · Answer

differences:
1)one graph is higher than the other
2)x intercept is different
3)y intercept is differnt

they are straight lines...they are not parabolas

anonymous · Answer

they are straight lines ... just replace that ir by ie

lena772 · Answer

oh ok :)

lena772 · Answer

Thanks!