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andriy [413]
3 years ago
8

Freya is training for a track race. She starts by sprinting 200 yards. She gradually increases her distance, adding 5 years a da

y for 21 days. Which explicit formula models this situation?
Mathematics
2 answers:
azamat3 years ago
7 0

<u>Answer:</u>

a _ n = 200 + ( n - 1 ) 5

<u>Step-by-step explanation:</u>

We are given that initially, Freya started with sprinting 200 yards and then gradually increased the distance by adding 5 yards a day for 21 days.

So our initial value for distance is a_1=200

and since she keeps on adding 5 yards everyday to her distance so this will be our common difference.

Therefore, the explicit formula will be:

a_n=200+(n-1)5

disa [49]3 years ago
4 0

Freya begins started with 200 yards.

Freya then increased her distance by adding five yards a day for two days.

x = 200 + (n - 1)5.

<em>[x = The distance Freya sprints on day 21]</em>

x = 200 + (21 - 1)5

x = 200 +  (20) 5 = 300 yards

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