Exponential Test

Which expression is equivalent to $$(2m^4)(5m^8)$$ ?

A store manager adjusts the priece of an item each week that the item goes unsold. The price of the unsold item, in dollars, after $$x$$ weeks can be modeled by the exponential function $$f\left(x\right)=320\left(0.90\right)^x$$ . The initial price of the item before the store manager made any adjustments was ​ ​ (a)   .

The current price of the item (b)   at a rate of (c)   each week.

A shipping company started with 40 employees. The number of employees at the shipping company increases at a rate of 7.5% each year. Which function can be used to model the number of employees, f(x), at the shipping company after x years?

Which graph represents $$f(x) = 3 \left( \frac{2}{3} \right)^x$$ ?

Which expression is equivalent to $$\frac{x^{-5}y^4}{x^3y}$$ for all values of x and y where the expression is defined?

New houses are being built in a neighborhood. The table shows the exponential change in the number of houses in the neighborhood over the last 6 years. Which exponential function best models the data?

A sample of a substance with an initial mass of 963 grams is decaying at a rate of 27% per hour. Create a function that can be used to fine y, the mass of the substance in grams remaining after x hours.

( use y= for the equation)

In the expression shown, x is a value where the expression is defined. $$(2x^8)(3x^{-1})^2$$ What is the simplest form of the expression? Write your answer in the form $$ax^b$$ . Record your answer in the space provided.

A company currently has 500 employees. The number of employees is expected to grow at a rate of 2% each year. Write an exponential function to model the number of employees in the company, y, after x years.