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

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

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