Respuesta :
Answer:
[tex]\dfrac{560}{t}[/tex] pages per hour.
given that [tex]t[/tex] is the amount of time gives her class to read.
Step-by-step explanation:
It isn't stated that exactly how many minutes the teacher gave Alex to read.
So to go further with this solution, we'll say that the teacher gave [tex]t[/tex] minutes reading time to each student. (so you can just replace t with the actual number in your answer)
Alex read [tex]9\frac{1}{3}[tex] pages in [tex]t[/tex] minutes.
by dividing the pages with the time, we'll find the rate of pages at which Alex reads per minute.
[tex]9\frac{1}{3} \div t[/tex]
we can simplify the mixed fraction
[tex]\dfrac{28}{3} \times \dfrac{1}{t}[/tex]
[tex]\dfrac{28}{3t} \frac{\text{pages}}{\text{minute}}[/tex] (Alex's speed)
To find out how many page Alex will read in an hour we can simply convert the minutes to hour by multiplying by 60 minutes.
[tex]\dfrac{28}{3t} \frac{\text{pages}}{\text{minute}} \times \frac{\text{60 minute}}{\text{hour}}[/tex]
we can see that the minutes cancel out. and 60 multiplies with 28.
[tex]\dfrac{1680}{3t} \frac{\text{pages}}{\text{hour}}[/tex]
[tex]\dfrac{560}{t} \frac{\text{pages}}{\text{hour}}[/tex]
this shows that Alex read [tex]\dfrac{560}{t}[/tex] pages per hour.
