Answer:
For every minute, four dots will be added to the pattern.
Formula: t = 4m + 1
Explanation:
Note the amount at the start. It is 1 dot.
Note the amount after one minute, it is 5 dots in total. There is an addition of 4 dots (1 + 4) = 5.
Note the amount after two minutes, it is 9 dots in total. There is another addition of 4 dots (5 + 4) = 9
Create a formula. Let total = t, and minutes = m.
It is already given that you are given 4 dots per minute (as we have solved for it). You start out with 1 dot. Set the equation.
total = (dots per minute)(minutes) + (starting amount)
total = t
dots per minute = 4
minutes = m
starting amount = 1
Plug in the corresponding number & variables to the corresponding words.
(t) = (4)(m) + (1)
t = 4m + 1
t = 4m + 1 is your formula.
Check. Plug in 0 into the formula.
0 minute:
t = 4(0) + 1
t = 0 + 1
t = 1 (as shown on the left).
1 minute:
t = 4(1) + 1
t = 4 + 1
t = 5 (as shown in the middle).
2 minute:
t = 4(2) + 1
t = 8 + 1
t = 9 (as shown on the right).
~