The initial amount of a substance is 132 grams. The amount of the substance decreases by 50% every 9 years. Choose the correct equation for the amount of the substance remaining after t number of years. OA. P=132+50t OB. P=132(0.5)⁹t OC. P=132(0.5)⁹t ○ D. ○ E. P=132(0.5)⁹ t P=132(0.5)⁹ How many grams are left after 5 years? (round to the nearest hundredth) ☐ grams What is the yearly decay factor? (round to the nearest ten-thousandth) What is the yearly decay rate? (round to the nearest hundredth of a percent) ☐ %

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 23SE: A substance has a half-life of 2.045 minutes. If the initial amount of the substance was 132.8...
Question
The initial amount of a substance is 132 grams. The amount of the substance decreases by 50% every 9 years.
Choose the correct equation for the amount of the substance remaining after t number of years.
OA. P=132+50t
OB. P=132(0.5)⁹t
OC. P=132(0.5)⁹t
○ D.
○ E.
P=132(0.5)⁹
t
P=132(0.5)⁹
How many grams are left after 5 years? (round to the nearest hundredth)
☐ grams
What is the yearly decay factor? (round to the nearest ten-thousandth)
What is the yearly decay rate? (round to the nearest hundredth of a percent)
☐ %
Transcribed Image Text:The initial amount of a substance is 132 grams. The amount of the substance decreases by 50% every 9 years. Choose the correct equation for the amount of the substance remaining after t number of years. OA. P=132+50t OB. P=132(0.5)⁹t OC. P=132(0.5)⁹t ○ D. ○ E. P=132(0.5)⁹ t P=132(0.5)⁹ How many grams are left after 5 years? (round to the nearest hundredth) ☐ grams What is the yearly decay factor? (round to the nearest ten-thousandth) What is the yearly decay rate? (round to the nearest hundredth of a percent) ☐ %
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