Question

Jeremy’s family wants to rent bicycles. The table shows the cost in dollars, y, of renting a bicycle for x hours.



What type of function is represented?

exponential
quadratic
linear
logarithmic

Answer 1

I don't see the table values — could you paste the x and y pairs or upload the image?

Meanwhile, here is how to tell which type the table represents:

- Linear: the change in y for each equal step in x is constant. Compute first differences y(x+1) − y(x); if they are all the same number, it's linear (cost = a + bx).
- Quadratic: the first differences are not constant but the second differences (differences of the differences) are constant. That indicates a quadratic relation y = ax^2 + bx + c.
- Exponential: the ratio y(x+1) / y(x) is constant (or roughly constant). If each step multiplies y by the same factor, it's exponential (y = a·b^x).
- Logarithmic: increases in x produce progressively smaller increases in y (opposite of exponential). It’s less common in simple rent-cost tables; you can try plotting or see if y fits y = a + b·ln(x).

If you paste the table values I’ll identify the function and show the work.