To write a proportional equation for Jonathan's piano practice time, we need to use the given information to create a ratio, which can be expressed as a proportion.
Let's start by finding out how many minutes Jonathan practices per day. Since there are 14 days in 2 weeks, we can divide the total practice time by 14 to get the average daily practice time:
658 minutes ÷ 14 days = 47 minutes per day
Now we can write a proportional equation in terms of d, the number of days Jonathan practices:
t = 47d
This equation tells us that Jonathan's total practice time (t) is proportional to the number of days (d) he practices, with a constant rate of 47 minutes per day. As he practices more days, his total practice time will increase in a linear fashion.