Mathematics High School

Beth normally cycles a total distance of 56 miles per week.
She increases her distance by 15% each week for the next three weeks.
How many miles will she cycle in the third week?
(3 marks)
miles

Answers

Answer 1

Answer:

She will cycle 85.169 miles in the third week.

(round if needed)

Step-by-step explanation:

56÷100=0.56 (this is 1%)

0.56 x 15 + 56 = 64.4 (you find 15% then add 56 (the original amount) because it's an increase of 15%)

repeat for the other 3 weeks

64.4÷100=0.644

0.644 x 15 + 64.4 = 74.06

74.06÷100=0.7406

0.7406 x 15 + 74.06 = 85.169

Answer 2

Beth will cycle a distance of 85.169 miles in the third week.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If john obtained a score of 57% on his exam, that corresponds to 57 out of 100.

Beth rides her cycle 56 kilometers each week on average.

For the next three weeks, she will increase her distance by 15% each week.

As per the given condition, the required solution would be as

⇒ 56 / 100 = 0.56

⇒ 0.56 × 15 + 56 = 64.4

If we obtain 15%, add 56 (the initial amount) because there is a 15% increase.

Repeat for the remaining three weeks.

⇒ 64.4 / 100 = 0.644

⇒ 0.644 × 15 + 64.4 = 74.06

⇒ 74.06 / 100 = 0.7406

⇒ 0.7406 × 15 + 74.06 = 85.169

Therefore, she will cycle a distance of 85.169 miles in the third week.

Learn more about the percentages here:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:


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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

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Answers

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Answers

Answer:

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