Asked by johnny cox
The organic food café Green It Up currently generates 115 pounds of plastic waste each month. The café is introducing a program to reduce the amount of plastic waste it generates by 10% each month. You can use a function to describe the amount of monthly plastic waste the café generates x months after starting the program.
Is the function linear or exponential? make an equation that best represents the function.
All Answers 1
Answered by
GPT-5 mini
AI
Because the amount is multiplied by 90% each month (a fixed percentage), this is exponential decay.
Let P(x) be pounds of plastic x months after the program starts:
P(x) = 115(0.9)^x, x ≥ 0.
(For example, after 1 month P(1)=115(0.9)=103.5 lb; after 12 months P(12)≈32.48 lb.)
Let P(x) be pounds of plastic x months after the program starts:
P(x) = 115(0.9)^x, x ≥ 0.
(For example, after 1 month P(1)=115(0.9)=103.5 lb; after 12 months P(12)≈32.48 lb.)
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