Final answer:
The approximate average rate of change in the price per paper from Friday to Sunday is 62.5 cents per day.
Step-by-step explanation:
To find the approximate average rate of change in the price per paper each day, we first need to determine the change in price from Friday to Sunday and divide it by the change in the number of newspapers. First, we find the price per newspaper on each day. On Friday, Sarah bought 5 newspapers for $2.50, so the price per newspaper is $2.50 ÷ 5 = $0.50. On Sunday, she bought 7 newspapers for $12.25, so the price per newspaper is $12.25 ÷ 7 = $1.75.
Now, we calculate the rate of change in price from Friday to Sunday. The change in price per newspaper is $1.75 - $0.50 = $1.25. The change in time is 2 days (from Friday to Sunday). The average rate of change is therefore calculated as the price change divided by the time change: $1.25 ÷ 2 days = $0.625 or 62.5 cents per day.