Question 1 A tiling pattern is defined by the pattern rule equation 'n = 6 + 4p`,

where `p is the position number and 'n' is the number of tiles.

How many tiles would there be in position 22?

There would be 94 tiles.

Step-by-step explanation:

The number of tiles is given by the following equation:

In which p is the current position.

How many tiles would there be in position 22?

This is n when . So

There would be 94 tiles.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).