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The weight of a bar of soap decreases by 2.5% each time it is used. If the bar weighs 95 grams when it is

new, what is its weight to the nearest gram after 15 uses?
what formula do I use ​

Respuesta :

sqdancefan

9514 1404 393

Answer:

  65 grams

Step-by-step explanation:

The formula for an exponential sequence is ...

  w(n) = (initial weight) × (1 - (decrease per use))^n . . . . for n uses

  w(n) = 95·0.975^n . . . . . filling in the given numbers

Then for 15 uses, the weight is ...

  w(15) = 95·0.975^15 ≈ 64.98 ≈ 65

The weight after 15 uses is about 65 grams.

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