QuestionKaren tests a bath fizzer weighing 5 ounces. It halves every minute. Find the equation and weight after 3 minutes.
Studdy Solution
STEP 1
Assumptions1. The initial weight of the bath fizzer is5 ounces.
. The weight of the bath fizzer decreases by half every minute.
3. This rate of decrease is expected to continue.
4. We are asked to model the weight of the bath fizzer using an exponential equation of the form , where is the weight of the bath fizzer after minutes in water.
5. We are also asked to find the weight of the bath fizzer after3 minutes in water.
STEP 2
We know that the initial weight of the bath fizzer is5 ounces, so this is our value in the equation .
STEP 3
We know that the weight of the bath fizzer decreases by half every minute, so this is our value in the equation .
STEP 4
Now we can write the exponential equation that models the weight of the bath fizzer.
STEP 5
We are asked to find the weight of the bath fizzer after3 minutes in water. We can do this by substituting into our equation.
STEP 6
Calculate the weight of the bath fizzer after3 minutes in water.
The bath fizzer will weigh0.625 ounces after3 minutes in water.
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