Question

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?
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.

Answer 1

The statement which best describes the steps to graph the solution to the inequality in x and y is the third option from the scale, because :

x nickels = 5x cents

y dimes in turn - 10y cents. 

Multiply them together and now we have  5x + 10y cents. 

Total amount sloud be less than $20 or 2000 cents. 

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