A photographer charges $100 for the first hour of a photoshoot, and the hourly rate is halved for each additional hour. Which of the following geometric series models represents the income of the photographer after 4 hours?(1 point) Responses ∑4n=1100(12)n−1 sigma-summation underscript n equals 1 overscript 4 End Scripts 100 left parenthesis Start Fraction 1 over 2 End Fraction right parenthesis superscript n minus 1 baseline ∑100n=14(12)n−1 sigma-summation underscript n equals 1 overscript 100 End Scripts 4 left parenthesis Start Fraction 1 over 2 End Fraction right parenthesis superscript n minus 1 baseline ∑4n=112(100)n−1 sigma-summation underscript n equals 1 overscript 4 End Scripts Start Fraction 1 over 2 End Fraction left parenthesis 100 right parenthesis superscript n minus 1 baseline ∑4n=14(12)n−1
∑4n=1^4(100)(1/2)^(n-1)
This geometric series represents the income of the photographer after 4 hours. The initial amount is $100, and each subsequent hour the amount is halved.