You have a circular velodrome with a radius of 50m. a) Which is the arc length that corresponds to a central angle of 1000 rad for this velodrome?

b) If a cyclist rides that distance in 2 minutes, which is her angular velocity?

y = 2x² - 10

Step-by-step explanation:

We must find a pattern in the numbers. Set out the numbers in a table (Columns 1 and 2 in the table).

x     y    y/2    y/2 + 5

2   -2      -1           4

3    8       4           9

4  22      11          16

5  40    20         25

It looks like all y-values are multiples of 2.

Let's divide them by 2 (Column 3).

The numbers don't increase evenly. We may have a quadratic function.

If we add 5 to each quotient, we get a set of values equal to x² (Column 4).

y/2 +   5 = x²

y     + 10 = 2x²

y            = 2x² - 10

The function is y = 2x² - 10.