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.

Answer 1

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. :)

Answer 2

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