Final answer:
The correct equation representing the number of jewels (x) and stars (y) to earn 300 points is '3x + 2y = 300'. Three combinations could be 100 jewels and 0 stars, 0 jewels and 150 stars, or 50 jewels and 100 stars. The equation signifies the total points earned from both items must equal 300.
Step-by-step explanation:
To write an equation that represents the number of jewels and stars you must find to earn 300 points in a video game, we use the points you earn for each item. You earn 3 points for each jewel and 2 points for each star. So, if x represents the number of jewels and y represents the number of stars, the correct equation would be:
Equation: 3x + 2y = 300
This equation signifies that the total number of points earned from jewels and stars must add up to 300. To graph this equation, plot points based on different combinations of x (jewels) and y (stars) and then draw a line through these points.
Here are three combinations that will earn you 300 points:
- 100 jewels and 0 stars (300 = 3(100) + 2(0))
- 0 jewels and 150 stars (300 = 3(0) + 2(150))
- 50 jewels and 100 stars (300 = 3(50) + 2(100))