Martina trains for a marathon. In her first week of training she runs 5 miles. Each week after that she increases her run by 0.8 miles. How many weeks of training will it take before she runs more than 36 miles
5 + .8W ≥ 36
Solve for W.
To find out how many weeks of training it will take before Martina runs more than 36 miles, we can set up an equation.
Let's denote the number of weeks of training as 'w'.
Martina runs 5 miles in her first week of training, and each subsequent week she increases her run by 0.8 miles. Therefore, the number of miles she runs in week 'w' can be represented as:
5 + 0.8w
We want to find when Martina runs more than 36 miles, so we can set up the following inequality:
5 + 0.8w > 36
Now, we can solve for 'w' by subtracting 5 from both sides of the inequality:
0.8w > 36 - 5
0.8w > 31
Next, we divide both sides of the inequality by 0.8 to isolate 'w':
w > 31 / 0.8
w > 38.75
Since 'w' represents the number of weeks, it can only be a whole number. So we round up the value of 38.75 to the nearest whole number, which is 39.
Therefore, it will take Martina 39 weeks of training before she runs more than 36 miles.