Let's analyze the given real-world problems to see which one matches the sum [tex]\(-22 + 9\)[/tex]:
1. Quinn is playing a card game with his friends. He had -22 points at the start of his turn, but just got 9 points. How many points does he now have?
- Here, Quinn's starting points are [tex]\(-22\)[/tex] and he gains 9 points during his turn. To find his new points total, you add the points gained to his initial points: [tex]\(-22 + 9\)[/tex].
- The result is [tex]\(-13\)[/tex]. So, Quinn now has [tex]\(-13\)[/tex] points.
2. Layla earned \[tex]$22 babysitting last weekend. Today she received \$[/tex]9 from her grandmother. How much money does she have all together?
- Layla's earnings and the money received from her grandmother both are in positive figures. We need to add these two values to find the total amount of money she has: [tex]\(22 + 9\)[/tex].
- The sum is [tex]\(31\)[/tex], which doesn't match our required sum of [tex]\(-22 + 9\)[/tex].
3. The temperature was [tex]\(-22^\circ F\)[/tex] yesterday. Today the temperature is [tex]\(9^\circ F\)[/tex]. How much warmer is it today compared with yesterday?
- To determine how much the temperature has increased from yesterday to today, you would find the difference between today's and yesterday's temperatures: [tex]\(9 - (-22)\)[/tex].
- This becomes [tex]\(9 + 22 = 31^\circ F\)[/tex], also not matching the sum [tex]\(-22 + 9\)[/tex].
4. A scuba diver is 22 feet below sea level. Their friend is standing on a diving board 9 feet above sea level. What is the vertical distance between the scuba diver and their friend?
- The vertical distance between the scuba diver and their friend is the combination of the distances below and above sea level: [tex]\(22 + 9\)[/tex].
- This would be [tex]\(31\)[/tex] feet, again not matching the sum [tex]\(-22 + 9\)[/tex].
Thus, the real-world problem that matches the sum [tex]\(-22 + 9\)[/tex] and gives us the total points Quinn has now is:
Quinn is playing a card game with his friends. He had -22 points at the start of his turn, but just got 9 points. How many points does he now have?
Quinn now has [tex]\(-13\)[/tex] points.
