Question

An element with mass 510 grams decays by 26.3% per minute. How much of the element is remaining after 7 minutes, to the nearest 10th of a gram?

Answer 1

Answer:

135.74 gm

Step-by-step explanation:

510÷26.3=19.39

THEN

19.39×7=135.74

Answer 2

Answer:

Exponential Functions:

y=ab^x

y=ab  

x

 

a=\text{starting value = }510

a=starting value = 510

r=\text{rate = }26.3\% = 0.263

r=rate = 26.3%=0.263

\text{Exponential Decay:}

Exponential Decay:

b=1-r=1-0.263=0.737

b=1−r=1−0.263=0.737

\text{Write Exponential Function:}

Write Exponential Function:

y=510(0.737)^x

y=510(0.737)  

x

 

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=510(0.737)^{7}

y=510(0.737)  

7

 

y= 60.234123

y=60.234123

Evaluate

y\approx 60.2

y≈60.2

round

Step-by-step explanation: