Sally has only nickels and dimes in her money box. She knows that she has less than $20 in the box. Let x represent the number of nickels in the box and y represent the number of dimes in the box. Which of the following statements best describes the steps to graph the solution to the inequality in x and y?

Question

anonymous · Answer

ANSWER CHOICES

Draw a dashed line to represent the graph of 5x + 10y = 2000 and shade the portion above the line for positive values of x and y.

 Draw a dashed line to represent the graph of 10x + 5y = 2000 and shade the portion above the line for positive values of x and y.

 Draw a dashed line to represent the graph of 5x + 10y = 2000 and shade the portion below the line for positive values of x and y.

 Draw a dashed line to represent the graph of 10x – 5y = 2000 and shade the portion below the line for positive values of x and y.

anonymous · Answer

@ranga

anonymous · Answer

@SolomonZelman

solomonzelman · Answer

Which choices can you eliminate right away, any ideas?

anonymous · Answer

@SolomonZelman no

ranga · Answer

x nickels is worth 5x cents.
y dimes is worth 10y cents.
Together they are worth 5x + 10y cents.
The total is less than $20 or 2000 cents.
So 5x + 10y < 2000

anonymous · Answer

but the answer choices arent inequalities

ranga · Answer

Since the inequality has "less than" and not "less than or equal to", the line should be a dashed line to represent the inequality 5x + 10y < 2000.  And since it is a "less than" and not "greater than" the region below the line should be shaded.

anonymous · Answer

so its c

ranga · Answer

yes.

anonymous · Answer

@ranga  thank you, can you help me with another question