Heather chops 250 carrots in 2 hours, and 750 carrots in 6 hours. write an equation that represents the direct relationship between carrots and time.

C represents carrots. t represents time in hours.

c= 125t

To find this equation, I found the unit rate, or how many carrots were chooped per hour. I then plugged it into slope intercept form (y=mx+b) where the y intercept was 0 because she can chop 0 carrots in 0 hours.

The equation would be c=125h, where c equals the number of carrots and h is the number of hours.

Basically it takes 1 hour to chop 125 carrots. 

Hope this helps :)