Question

the number of nano - related patents that are granted in the us increases by a factor of 1.2 every year. in 1991, there were 60 nano - related patents. which expression gives the number of patents in 1998? choose 1 answer: a (60cdot1.2^{7}) b (60cdot(1 + 1.2)^{7}) c (60 + 1.2^{7}) d (60+(1 + 1.2)^{7})

Explanation:

Step1: Calculate years between 1991-1998

$1998 - 1991 = 7$

Step2: Apply exponential growth formula

Initial value: $60$, growth factor: $1.2$, years: $7$. Formula: $\text{Final Value} = 60 \cdot 1.2^7$

Step3: Match with options

The derived expression matches option A.

Answer:

A. $60 \cdot 1.2^7$