Jake forgot to replace the cap on a bottle of cologne. The cologne began to evaporate at the rate of 18% per day. If the original amount of cologne in the bottle was 50 grams, which of the following graphs best represents the amount of cologne f (x) remaining in the bottle after x days?

Question

Madalynn Ward

Mathematics

29 June, 20:45

Jake forgot to replace the cap on a bottle of cologne. The cologne began to evaporate at the rate of 18% per day. If the original amount of cologne in the bottle was 50 grams, which of the following graphs best represents the amount of cologne f (x) remaining in the bottle after x days?

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Answers (2)

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Carolina Glover · Answer 1

If you're flvs, the y intercept of the graph would be 50. The third option is the only one like such.

Marcellus · Answer 2

Amount in first day = 30 gramsAmount in 2nd day = 30 * (1 - 0.12) Amount in 3rd day = 30 * (1 - 0.12) * (1-0.12)

So the pattern 30 * ((1 - 0.12) ^0), 30 * ((1 - 0.12) ^1), 30 * ((1 - 0.12) ^2)

So the amount in x days30 * ((1 - 0.12) ^ (x-1))