Question

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?

Answer 1

Answer:

Step-by-step explanation:

Total Depreciation: 60.24%

Total depreciation: $9,759.50

Car Value after 6 years: $6,440.50

Answer 2

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