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Misha Larkins [42]
3 years ago
9

Drake wants to save $750 so that he can take a class on computer analysis for cars. The class is being held on various dates ove

r the next several months. Drake is planning to take the class 6 weeks from now, so he plans to save $125 each week. Unfortunately, Drake had to take out a little money from his savings in the 3rd week. After 4 weeks, Drake has $470. He knows that he must adjust his plan in order to meet his goal. Drake came up with the following options: Option A: Stay with saving the original amount each week but take the class a week later than originally planned. Option B: Increase the amount of money he saves each week by $15 from his original plan. Which of the following is a true statement?
a. Only option A will allow him to meet his goal.
b. Only option B will allow him to meet his goal.
c. Both options A and B will allow him to meet his goal.
d. Neither option A nor option B will allow him to meet his goal.
Mathematics
1 answer:
Natali5045456 [20]3 years ago
8 0
C. Both options A and B will allow him to meet his goal.

_____
On his original plan, he is $30 short. (A) By delaying his class 1 week, he can add one more payment, so will have $95 more than he needs. (B) By increasing his payment $15 each week for the remaining 2 weeks, he will have exactly the amount he needs to take the class at the time he originally wanted.
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Looking at the mean, the median and the mode, cars are more efficient on a highway than in a city

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Mean_{city} =\frac{(16.2+16.7+15.9+14.4+13.2+15.3+16.8+16.0+16.1+15.3+15.2+15.3+16.2)mpg }{13} =15.6 mpg

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Then, to know what the median is, we have to order from least to greatest and look the middle value, i.e. half of the values will be higher than the median and half will be lower.

For the mode, we have to look up what is the most repeated value in our list.

For city performances:

  1. 13.2
  2. 14.4
  3. 15.2
  4. 15.3
  5. 15.3
  6. 15.3
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  9. 16.1
  10. 16.2
  11. 16.2
  12. 16.7
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The median value is 15.9 miles per gallon, and the mode is 15.3 miles per gallon.

For highway performances:

  1. 17.2
  2. 17.4
  3. 18.3
  4. 18.5
  5. 18.6
  6. 18.6
  7. 18.7
  8. 19
  9. 19.2
  10. 19.4
  11. 19.4
  12. 20.6
  13. 21.1

The median value is 18.7 miles per gallon, and the mode is 18.6 and 19.4 miles per gallon.

We can say then, that looking at the mean, the median and the mode, cars are more efficient on a highway than in a city and that the least-consuming car in a city still is worst  in terms of efficiency than the worst-performing in a highway.

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