SAT Question 59d1f4b5: Nonlinear Functions answer and explanation with Desmos solution

Choice B is incorrect and may be the result of incorrectly using $t=4q$ instead of $q=4t$. (Choices B and D are nearly the same since $1.02^{4q}$ is equivalent to $(1.02^4{)}^q$, which is approximately $1.082^q$.)

Choice C is incorrect and may be the result of incorrectly using $t=4q$ and unnecessarily dividing $0.02$ by $4$.

Choice D is incorrect and may be the result of incorrectly using $t=4q$ instead of $q=4t$. (Choices B and D are nearly the same since $1.02^{4q}$ is equivalent to $(1.02^4{)}^q$, which is approximately $1.082^q$.)