Help please!!
Your digital camera has a 512 megabyte memory card. You take low resolution pictures requiring 4 megabytes of memory each and high resolution pictures requiring 8 megabytes of memory each.
a) Write and graph an equation for the possible numbers of low and high resolution pictures you can take.
b) DESCRIBE the meaning of the slope and intercepts in the context of the problem.

Question

Help please!!
Your digital camera has a 512 megabyte memory card. You take low resolution pictures requiring 4 megabytes of memory each and high resolution pictures requiring 8 megabytes of memory each.
                                                                           a) Write and graph an equation for the possible numbers of low and high resolution pictures you can take.
b) DESCRIBE the meaning of the slope and intercepts in the context of the problem.

anonymous · Answer

So, start with an easier question: how many pictures could you take if there were only low resolution pictures? Well, your equation would be 4x <= 512, or x <= 128, because you can't exceed the memory limits. Now, let's add in the high resolution pictures. The new equation is 4x + 8y <= 512, where y represents the high resolution pictures. You can graph the inequality by finding the intercepts: (128,0) and (0,64), drawing a line between them, and shading below it.
|dw:1394396890531:dw|
The slope represents the ratio of the two picture sizes, and the intercepts represent the cases where you take only one size or the other.