Answer:
6440.50
Step-by-step explanation:
An element with mass 630 grams decays by 18.8% per minute. How much of the element is remaining after 7 minutes, to the nearest 10th of a gram?
\text{Exponential Functions:}
Exponential Functions:
y=ab^x
y=ab
x
a=\text{starting value = }630
a=starting value = 630
r=\text{rate = }18.8\% = 0.188
r=rate = 18.8%=0.188
\text{Exponential Decay:}
Exponential Decay:
b=1-r=1-0.188=0.812
b=1−r=1−0.188=0.812
\text{Write Exponential Function:}
Write Exponential Function:
y=630(0.812)^x
y=630(0.812)
x
Put it all together
\text{Plug in time for x:}
Plug in time for x:
y=630(0.812)^{7}
y=630(0.812)
7
y= 146.633349
y=146.633349
Evaluate
y\approx 146.6
y≈146.6
round
Your Solution:
6440.50
6440.50
