Algebra Blitz

Which situation could be modeled by using an exponential function?

A shipping company started with 40 employees. The number of employees at the shopping 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.

In the expression shown, x is a value where the expression is defined.

$$\left(2x^8\right)\left(3x^{-1}\right)^2$$

What is the simplest form of the expression? Write your answer in the form ax^b.

​ (a)   x​​ (b)  

The equation of line k is $$y=-x+17$$ . Line n is parallel to line k and passes through the point (-5, 7). Determine an equation that represents the relationship between x and y for line n.

A sequence can be generated using the equation shown, where a₁ = 5 and n is a whole number greater than 1.

$$a_n=-3+a_{\left(n-1\right)}$$