An element with a mass of 970 g decays by 15.1% per minute how much of the element remaining after 14 minutes
2 answers:
Answer:
The answer is 98.1
Step-by-step explanation:
Exponential Functions:
y=ab^x
a=starting value = 970
r=rate = 15.1%=0.151
Exponential Decay:
b=1-r=1-0.151=0.849
Write Exponential Function:
y=970(0.849)^x
Plug in time for x:
y=970(0.849)^{14}
y= 98.05718
Evaluate
y≈98.1
The amount of the element remaining (y) in grams after time (t) in minutes is defined by the equation y=970(1-.151)^t. Substitute t=14 into the equation and solve for y. y=970(.849)^14=98.06 rounded to two decimal places.
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