First, we need to calculate the cost per apple based on the purchases Ellen made last week and this week.
Last week:
- Cost for 4 apples = $2.40
- Cost per apple = \( \frac{2.40}{4} = 0.60 \) dollars per apple
This week:
- Cost for 9 apples = $5.40
- Cost per apple = \( \frac{5.40}{9} = 0.60 \) dollars per apple
The cost per apple remains consistent at $0.60.
Now, we need to check the options given, in order to see how many apples she could buy next week at this price:
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Option A: 1 apple for $1.20
- Cost per apple = \( \frac{1.20}{1} = 1.20 \) (Not correct, as it should be $0.60)
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Option B: 6 apples for $3.40
- Cost per apple = \( \frac{3.40}{6} \approx 0.5667 \) (Not correct, as it should be $0.60)
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Option C: 10 apples for $6.00
- Cost per apple = \( \frac{6.00}{10} = 0.60 \) (Correct, matches the calculation)
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Option D: 13 apples for $8.20
- Cost per apple = \( \frac{8.20}{13} \approx 0.6308 \) (Not correct, as it should be $0.60)
The only option that maintains the cost per apple at $0.60 is Option C: 10 apples for $6.00. Therefore, the answer is:
C. 10 apples for $6.00