Answer
y = 6x
Step-by-step explanation
To write a recursive or explict rue for this sequence, we need to firstly examine the given sequence.
If we let money spent = y and number of weeks = x
when x = 1, y = 6
when x = 2, y = 12
when x = 3, y = 18
when x = 4, y = 24
We can easily see that as x increases by units of 1, the y increases by corresponding units of 6.
A rule that will work for this is that
y = 6x
so that, when x = 1, y = 6(1) = 6 (as it is on that graph)
when x = 2, y = 6(2) = 12 (as it is on that graph again)
And so on.
Hope this Helps!!!