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Which of the following is a real-world problem that could be solved with 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?

2. Layla earned [tex]\$22[/tex] babysitting last weekend. Today she received [tex]\$9[/tex] from her grandmother. How much money does she have altogether?

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?

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?

Sagot :

GinnyAnsweridn
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.
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