Question

Louisiana pays people a base of $5 to recycle cans, plus $1 per can they bring in to be recycled. Which graph represents the amount of money earned, y, by recycling x cans in Louisiana? NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question.(1 point)Responses

Answer 1

To represent the amount of money earned by recycling cans in Louisiana, we need to create a linear equation based on the given information.

The earnings can be expressed with the following equation:

\[ y = 5 + 1x \]

Where:

• \( y \) is the total amount of money earned,
• \( 5 \) is the base payment,
• \( 1x \) (where \( x \) is the number of cans) refers to the amount earned from recycling the cans.

From the equation:

• The y-intercept is 5, which corresponds to the base payment when no cans are recycled (\( x = 0 \)).
• The slope is 1, indicating that for each additional can recycled, the earnings go up by $1.

In a graph:

• The line would start at the point (0, 5) and would rise with a slope of 1.
• The line would pass through points like (1, 6), (2, 7), (3, 8), etc., as you add cans.

To find the correct graph representation, look for a line that starts at (0, 5) and increases at a steady rate, reflecting the slope of 1.

If you need to check specific graph options, please describe what the graphs look like, and I can help determine which one correctly represents the situation.