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?

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.

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.

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.

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.

is it b or c ?!?!?!

Answer 1

First of all, I would have reduced the equation to
x + 2y = 400 , so now you can mentally find the x and y intercepts as (400,0) and (0,200)
See how easy it is now to sketch the line ?

so you clearly want all the stuff below that line in the first quadrant

your answer has to be c
for b , Sally would have MORE than $20 in her bank