A cannery processed 1,445 pounds of strawberries in 4.5 hours. The cannery processed 2,320 pounds in 7 hours. Write a linear equation to model the relationship between the weight of strawberries S and time T. How many pounds of strawberries can be processed in 11 hours?

Question

A cannery processed 1,445 pounds of strawberries in 4.5 hours. The cannery processed 2,320 pounds in 7 hours.  Write a linear equation to model the relationship between the weight of strawberries S and time T.  How many pounds of strawberries can be processed in 11 hours?

anonymous · Answer

average the strawberries processed per hour to get 326.3 lbs/hour

thats you're slope

y -intercept = 0 because in 0 hours you process 0 strawberries.

y = 326.3x

I had more written but I pressed the back button and now i'm sad

anonymous · Answer

How did you solve it? I'm confused.

anonymous · Answer

you divide 1445/4.5 to get the lbs/hour
then you do that again with the second set of information...2320/7
that gives you some slope that we will average. (321.11 + 331.43) / 2
this gives us 326.3 which is the rate at which strawberries are processed, or, the slope.