Question

Greg has only nickels and dimes in his money box. He knows that he has more than $10 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? (5 points)
a
Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion below the line for positive values of x and y.

b
Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion above the line for positive values of x and y.

c
Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion above the line for positive values of x and y.

d
Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion below the line for positive values of x and y.

Answer 1

Answer: Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y

Step-by-step explanation: Let

x------> the number of nickels in the box

y------->the number of dimes in the box

we know that

so

Multiply by  both sides

-----> inequality that represent the situation

The solution of the inequality is the shaded area above the dashed line for positive values of x and y

The equation of the dashed line is

therefore

the answer is

Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y