Final answer:
By setting up a proportion based on the rate at which Hanan can type, we find that it will take Hanan 15 minutes to type 1250 words.
Step-by-step explanation:
The student asked, "Hanan can type 500 words in 6 minutes. How long will it take her to type 1250 words?" To solve this, we can set up a proportion because the number of words typed is directly proportional to the time spent typing. Since Hanan can type 500 words in 6 minutes, we write the proportion as:
500 words / 6 minutes = 1250 words / x minutes
To find x, we solve for x by multiplying both sides by x and then dividing by 500:
6 minutes * 1250 words = 500 words * x minutes
7500 = 500x
x = 7500 / 500
x = 15 minutes
Therefore, it will take Hanan 15 minutes to type 1250 words.