looks like an arithmetic sequence
where
a = 12
d = 6
term(n) = a + (n-1)d
60 = 12 + (n-1)(6)
48 = 6n-6
54 = 6n
n = 9
9 weeks
where
a = 12
d = 6
term(n) = a + (n-1)d
60 = 12 + (n-1)(6)
48 = 6n-6
54 = 6n
n = 9
9 weeks
number weeks= 48/6
check that
I did not read the question carefully
In the first week, you are jogging for 12 minutes per day.
In the second week, you will increase your jogging time by 6 minutes per day. So, you will jog for 12 + 6 = 18 minutes per day.
In the third week, you will increase your jogging time by another 6 minutes per day. So, you will jog for 18 + 6 = 24 minutes per day.
We can see that the jogging time increases by 6 minutes per day each week.
To find out how many weeks it will take to reach 60 minutes per day, we need to solve the equation:
12 + 6x = 60
Here, x represents the number of weeks. We want to find the value of x.
Simplifying the equation, we get:
6x = 60 - 12
6x = 48
Dividing both sides of the equation by 6, we find:
x = 48 / 6
x = 8
So, it will take 8 weeks to reach 60 minutes of jogging per day.