After knee surgery, your trainer tells you to return to yuor jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day. How many weeks will it be before you are up to jogging 60 minutes per day?
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
60=12+number weeks*6
number weeks= 48/6
check that
go with bob's answer
I did not read the question carefully
A poet wrote 2 poems on the first month, 5 on the second month, 8 on the third month. If the pattern continues how many poems did the poet make in a year?
To find out how many weeks it will take to reach 60 minutes of jogging per day, we can break down the problem step by step.
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.