The function $q(t) = \frac{2t + 7}{3}$ represents a linear function of $t$, divided by 3.

We can express it in different forms:

$q(t) = \frac{2t}{3} + \frac{7}{3}$

This form separates the terms so that it's clearer how $t$ and the constant are affected by division. The slope of the function is $\frac{2}{3}$ and the y-intercept is $\frac{7}{3}$.

Would you like a more detailed breakdown of the steps involved, or do you have any specific questions about the function?

Here are some related questions to consider:

1. What is the slope of the function, and how does it influence the graph?
2. How would you graph this function on a coordinate plane?
3. How does the y-intercept affect the placement of the line on the graph?
4. What happens if you change the coefficient of $t$ or the constant in the function?
5. Can you rewrite the function in a different form, such as using function notation?

Tip: In any linear function of the form $q(t) = mt + b$, $m$ is the slope and $b$ is the y-intercept. These parameters define the steepness and the position of the line on the graph.