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22-10-2022
Mathematics

Answered

The percentage of generic prescription drugs has been determined to grow exponentially. Below is a table depicting the anticipated growth. Let P(t) be the percentage of prescription drugs that are generic. Use t = 0 to represent 1990.

Year percent
1990 19
2016 74

a) Find an exponential equation that models this data. Show math steps used. Round decimal values to thousandths.

b) If this modeled exponential trend continues, predict the year in which 92% of prescriptions drugs will be generic. Show the process (math steps) used to determine your answer.

Answer :

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