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

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?

A) 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.

B) 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.

C) 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.

D) 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.

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Answers ( No )

    0
    2022-01-06T02:27:09+00:00

    Answer:

    The answer is the option C

    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

    Step-by-step explanation:

    we know that

    1\ nickel= \$0.05

    1\ dime= \$0.10

    Let

    x——-> the number of nickels

    y——-> the number of dimes

    The inequality that represent the situation is equal to

    0.05x+0.10y < 20

    Multiply by 100 both sides

    5x+10y < 2000  

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

    The equation of the dashed line is equal to 5x+10y=2000  

    therefore

    The answer is the option C

    see the attached figure to better understand the problem

    0
    2022-01-06T02:27:13+00:00

    The answer you are looking for would be C.) 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. Hope this helped you. Have a great day and winter break. 🙂

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