Which function rule represents the data shown below

Question

x 1 2 3 4 5

y 9 14 19 21 27

Answer 1

One possible function rule that represents the data is:

y = 5x + 4

This function rule can be obtained by observing that the difference between each value of y is 5 more than the previous value, and the first value of y is 4 more than 5 times the first value of x.

For example,

- The difference between 14 and 9 is 5, and between 19 and 14 is also 5, and so on.
- The first value of y is 9, which is 4 more than 5 times the first value of x, which is 1.

Therefore, this function rule can be used to predict the value of y for any given value of x in the data set.