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)

Question

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=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=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

∑4n=14(12)n−1
sigma-summation underscript n equals 1 overscript 4 End Scripts 4 left parenthesis Start Fraction 1 over 2 End Fraction right parenthesis superscript n minus 1 baseline

∑100n=14(12)n−1

GPT 3.5 · Answer

The correct representation is:

∑4n=112(100)n−1

This model represents the income of the photographer after 4 hours, with the first hour charged at $100 and the hourly rate halved for each additional hour.