Throughout much of the 20th century, the yearly consumption of electricity in the US increased exponentially at a continuous rate of 7% per year. Assume this trend continues and that the electrical energy consumed in 1900 was 1.5 million megawatt-hours. (a) Write an expression for yearly electricity consumption, E, as a function of time, t, in years since 1900. E(t) = million megawatt-hours (b) Find the average yearly electrical consumption throughout the 20th century. NOTE: Round your answer to the nearest integer. Average Yearly Consumption million megawatt-hours (c) During what year was electrical consumption closest to the average for the century? NOTE: Round your answer to the nearest integer. During
Throughout much of the 20th century, the yearly consumption of electricity in the US increased exponentially at a continuous rate of 7% per year. Assume this trend continues and that the electrical energy consumed in 1900 was 1.5 million megawatt-hours. (a) Write an expression for yearly electricity consumption, E, as a function of time, t, in years since 1900. E(t) = million megawatt-hours (b) Find the average yearly electrical consumption throughout the 20th century. NOTE: Round your answer to the nearest integer. Average Yearly Consumption million megawatt-hours (c) During what year was electrical consumption closest to the average for the century? NOTE: Round your answer to the nearest integer. During
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...
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Question
![Throughout much of the 20th century, the yearly consumption of
electricity in the US increased exponentially at a continuous rate
of 7% per year. Assume this trend continues and that the electrical
energy consumed in 1900 was 1.5 million megawatt-hours.
(a) Write an expression for yearly electricity consumption, E, as a
function of time, t, in years since 1900.
million megawatt-hours
(b) Find the average yearly electrical consumption throughout the
20th century.
NOTE: Round your answer to the nearest integer.
E(t)
=
million megawatt-hours
(c) During what year was electrical consumption closest to the average
for the century?
NOTE: Round your answer to the nearest integer.
During
Average Yearly Consumption
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f1362b4-80e9-4fad-af46-6657807adc71%2Fcf7a7466-06ca-4982-9757-f8642125ca6c%2Fmfzy7x4_processed.png&w=3840&q=75)
Transcribed Image Text:Throughout much of the 20th century, the yearly consumption of
electricity in the US increased exponentially at a continuous rate
of 7% per year. Assume this trend continues and that the electrical
energy consumed in 1900 was 1.5 million megawatt-hours.
(a) Write an expression for yearly electricity consumption, E, as a
function of time, t, in years since 1900.
million megawatt-hours
(b) Find the average yearly electrical consumption throughout the
20th century.
NOTE: Round your answer to the nearest integer.
E(t)
=
million megawatt-hours
(c) During what year was electrical consumption closest to the average
for the century?
NOTE: Round your answer to the nearest integer.
During
Average Yearly Consumption
=
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