An element with a mass of 970 g decays by 15.1% per minute how much of the element remaining after 14 minutes

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

c

step-by-step explanation:

c

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.