Exponential Growth and Decay

Which inequality best represents the domain of the part shown? Options:

$$x>1$$

$$y>1$$

$$x>-2$$

$$y>-2$$

What does the $$5.00$$ represent in the equation $$f(x)=5.00(1.012)^x$$ ?

Based on the table, which function represents the same relationship? Options: $$q\left(x\right)=\left(0.25\right)^x$$ , $$q\left(x\right)=256\left(0.25\right)^x$$ , $$q\left(x\right)=0.0625\left(4\right)^x$$ , $$q\left(x\right)=0.5\left(4\right)^x$$

Which graph best represents $$y=10\left(0.85\right)^x$$ ?

Interpret the value in the function:

The initial balance of the account decreases at a rate of $$97.5\%$$ each year.

The balance in the account increases at a rate of $$2.5\%$$ each year.

The initial balance of the account was $1,025.

The balance in the account at the end of one year is $850.

Interpret the function $$f\left(x\right)=245\left(1.12\right)^x$$ for bacteria growth.

There are 1,024 players in a tennis tournament. In each round, half of the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of $$x$$ days?

Which function models the total number of metric tons of copper produced in the year that is $$x$$ years since 1900? Options: $$c\left(x\right)=495,000\left(1.0325\right)^x$$ , $$c\left(x\right)=495,000\left(0.9675\right)^x$$ , $$c\left(x\right)=495,000x^{1.0325}$$ , $$c\left(x\right)=495,000x^{0.9675}$$

A particular type of cell doubles in number every hour. Which function can be used to find the number of cells present at the end of $$h$$ hours if there are initially 4 of these cells?

Function modeling the amount of fertilizer in cubic yards left after $$w$$ weeks? Options: $$f\left(w\right)=0.97\left(78,000\right)^w$$ , $$f\left(w\right)=1.03\left(78,000\right)^w$$ , $$f\left(w\right)=78,000\left(0.97\right)^w$$ , $$f\left(w\right)=78,000\left(1.03\right)^w$$