Daniel runs laps every day at the community track. He ran 45 minutes each day, 5 days each week, for 12 weeks. In that time, he
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Answer: Exponential function:
Step-by-step explanation:
Exponential function: , a = initial value , x= time, b= growth factor , b= 1+r , where r=rate of growth.
Given: Initial population = a= 12,000,
rate of growth = r= 5% = 0.05
Then, b= 1+r= 1+ 0.05 = 1.05
Substitute value of a and b in (i), we get
Hence, The required exponential function: , where x= time.