Question

WILL MARK BRAINLIEST 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? 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. 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. 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. 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 $5x+10y= 1,000$, 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

$1\ nickel=\ 0.05$

$1\ dime=\ 0.10$

so

$0.05x+0.10y > 10$

Multiply by $100$ both sides

$5x+10y > 1,000$ -----> 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 $5x+10y= 1,000$

therefore

the answer is

Draw a dashed line to represent the graph of $5x+10y= 1,000$, and shade the portion above the line for positive values of x and y

see the attached figure to better understand the problem

Answer 2

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