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.

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Аноним Аноним · Answer 1 · 2016-12-21T20:26:56+01:00

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

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calculista calculista · Answer 2 · 2018-12-11T18:16:44+01:00

Answer:

Draw a dashed line to represent the graph of [tex]5x+10y= 1,000[/tex], 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

[tex]1\ nickel=\$0.05[/tex]

[tex]1\ dime=\$0.10[/tex]

so

[tex]0.05x+0.10y > 10[/tex]

Multiply by [tex]100[/tex] both sides

[tex]5x+10y > 1,000[/tex] -----> 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 [tex]5x+10y= 1,000[/tex]

therefore

the answer is

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

see the attached figure to better understand the problem