An electronics store makes a profit of $25 for every portable DVD player sold and $55 for every DVD recorder sold. The manager’s target is to make at least $225 a day on sales of the portable DVD players and DVD recorders. Write an inequality that represents the number of both kinds of DVD players that can be sold to reach or beat the sales target. Let p represent the number of portable DVD players and r represent the number of DVD recorders.

A. 25p + 55r ≤ 225
B. 25p + 55r ≥ 225
C. 55p + 25r ≥ 225
D. 25p + 55r 225

Question

An electronics store makes a profit of $25 for every portable DVD player sold and $55 for every DVD recorder sold. The manager’s target is to make at least $225 a day on sales of the portable DVD players and DVD recorders. Write an inequality that represents the number of both kinds of DVD players that can be sold to reach or beat the sales target. Let p represent the number of portable DVD players and r represent the number of DVD recorders. 

A. 25p + 55r ≤ 225
B. 25p + 55r ≥ 225
C. 55p + 25r ≥ 225
D. 25p + 55r > 225

anonymous · Answer

I think a

anonymous · Answer

I think its a as-well.

anonymous · Answer

Can you give a reason to why you think it is a as well?

anonymous · Answer

No, it's not A

anonymous · Answer

Since you want the left hand side to be GREATER than 225

anonymous · Answer

thus, it's B

anonymous · Answer

Wait it says make at least $225 and ≤ means greater than or equal to right?

anonymous · Answer

No if "x" is greater than or equal to 225, you'd write:

x$$x \ge 225$$

anonymous · Answer

Oh I see thanks!

anonymous · Answer

so the lefthand side must be greater than or equal to the sales target.