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3 A farmer has 580 square bales of hay in his shed with total mass 9850 kg.
The farm has 8 yards of animals. Each day, the farmer feeds out 2 bales of hay to each yard.
a Write an arithmetic sequence for the number of bales of hay remaining after n days.
b Write an arithmetic sequence which approximates the mass of hay remaining after n days.

Sagot :

Answer:

a) 580 - 16n

b) 9850 - 271.72n

Step-by-step explanation:

a) starting number of bales = 580

each day, the farmer feeds out 2 bales of hay to each yard. he has 8 yards, so he feeds out 2 bales 8 times for a total of 2 * 8 = 16 bales. Therefore, he loses 16 bales each day

After the first day, he has 580-16 = 564 bales. After the second, he has 564-16 = 548 bales, and so on. He loses 16 bales n times for n days, and as a result, his final amount of bales is

original amount - amount lost = 580 - 16n

b)

First, we can calculate how much a bale weighs.

average = sum/count = 9850 kg / 580 ≈ 17 kg

Therefore, as he loses 16 bales of hay, he loses 17 kg 16 times, or approximately 271.72 kg of hay every day. For n days, he loses 271.72n kg. This brings his final amount to be

starting - amount lost = 9850 - 271.72n

a)  Arithmetic sequence for the number of bales of hay remaining after n days :580 - 16n

b) Arithmetic sequence which approximates the mass of hay remaining after n days : 9850 - 271.72n

What is sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

A)  number of bales = 580

As each day, the farmer feeds out 2 bales of hay to each yard.

So, he has 8 yards, so he feeds out 2 bales

Thus, he loses 16 bales each day

After the first day,

580-16 = 564 bales.

After the second,

564-16 = 548 bales, and so on.

He loses 16 bales for n days, and his final amount of bales = 580 - 16n

b) Average = 9850 kg / 580 = 17 kg

So,  final amount to be

starting - amount lost = 9850 - 271.72n

Learn more about sequence here:

https://brainly.com/question/21961097

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