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While preparing to run a marathon, Amelia created a
training schedule in which the distance of her longest
run every week increased by a constant amount. If
Amelia’s training schedule requires that her longest
run in week 4 is a distance of 8 miles and her longest
run in week 16 is a distance of 26 miles, which of the
following best describes how the distance Amelia
runs changes between week 4 and week 16 of her
training schedule?
A) Amelia increases the distance of her longest run
by 0.5 miles each week.
B) Amelia increases the distance of her longest run
by 2 miles each week.
C) Amelia increases the distance of her longest run
by 2 miles every 3 weeks.
D) Amelia increases the distance of her longest run
by 1.5 miles each week.

Respuesta :

(D) Amelia increases the distance of her longest run by 1.5 miles each week, which best describes how the distance Amelia runs changes between week 4 and week 16 of her training schedule.

What is a fraction?

  • A fraction is a portion of a whole or, more broadly, any number of equal parts.
  • In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.

The correct option which best describes the above-given situation is:

  • The correct option is (D).
  • Amelia's longest run in week 16 will be 26 miles, while her longest run in week 4 will be 8 miles.
  • Over the course of 12 weeks, Amelia increases the distance of her longest run by 18 miles.
  • Because Amelia increases the length of her longest run by a constant amount each week, the amount she increases the length of her longest run each week is 26-8/16-4 = 18/12 = 3/2 = 1.5.
  • The fraction 26 minus 8 in the numerator and 16 minus 4 in the denominator equals the fraction 18 over 12, which equals the fraction 3 over 2, which equals 1.5 miles.
  • Choices A, B, and C are all incorrect because none of these training plans would result in Amelia's longest run increasing from 8 miles in week 4 to 26 miles in week 16.
  • For example, if Amelia increases the distance of her longest run by 0.5 miles every week and has her longest run of 8 miles in week 4, her longest run in week 16 would be 8 plus 0.5 times 12, equaling 14 miles, not 26 miles.

Therefore, (D) Amelia increases the distance of her longest run by 1.5 miles each week, which best describes how the distance Amelia runs changes between week 4 and week 16 of her training schedule.

Know more about fractions here:

https://brainly.com/question/17220365

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