Question

which expressions represent exponential growth? choose three correct answers.\\(0.2^t\\)\\(4y + 3\\)\\(1.2^t\\)\\(1.12^x + 67\\)\\(2x^2 - 17\\)\\(300(1.2)^{2y}\\)\\(3000(0.12)^y\\)

Explanation:

Step1: Recall exponential growth form

An exponential growth function has the form $a(b)^x$, where $a>0$ and $b>1$.

Step2: Evaluate each expression

• $0.2^t$: $b=0.2<1$, decay.
• $1.2^t$: $b=1.2>1$, growth.
• $300(1.2)^{2y}$: $b=1.2>1$, growth.
• $4y+3$: Linear, not exponential.
• $1.12^x+67$: $b=1.12>1$, growth component.
• $2x^2-17$: Quadratic, not exponential.
• $3000(0.12)^y$: $b=0.12<1$, decay.

Answer:

$1.2^t$, $300(1.2)^{2y}$, $1.12^x+67$