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Fantom
4 months ago
5

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

y for 21 days.
The explicit formula that models this situation is an = 200 + (n – 1)5.

How far does she sprint on day 21?
A. 300 yards
B. 305 yards
C. 205 yards
D. 221 yards
Mathematics
3 answers:
babunello [11.8K]4 months ago
8 0

Solution:

We know that

Freya is preparing for a race on a track. She begins her training with a 200-yard sprint. Over the next 21 days, she increases her daily distance by 5 yards.

The explicit formula that represents her training is a_n = 200 + (n-1)5

We need to determine the distance she runs on day 21.

By substituting n=21 into the provided formula, we find

a_{21} = 200 + (21-1)5

Simplifying leads to

a_{21} = 200 + 20*5

a_{21} = 200 + 100

a_{21} = 300

Thus, the correct answer is A.

Inessa [12.5K]4 months ago
8 0
The right answer is A) 300 yd.

Using the formula, we calculate 200 + (21-1)(5) = 200 + 20(5) = 200 + 100 = 300
Svet_ta [12.7K]4 months ago
0 0
My final answer is 205 yards.
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