A cannery processed 1,445 pounds of strawberries in 4.5 hours. The cannery processed 2,320 of strawberries 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 of strawberries 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?

vampirediaries · Answer

@cj49, @aum, @kropot72  can you help me, please?

cj49 · Answer

2320     7
      x       11 
11x2320/7=?

vampirediaries · Answer

I got 3645.71. What's the next step?

cj49 · Answer

thats the ans in 11 hrs it wud process 3645.71 pounds

vampirediaries · Answer

Oohh ok. Wow that was easier than I expected.
 Thank you for help

cj49 · Answer

np c:

vampirediaries · Answer

Wait... How would the equation look like?

cj49 · Answer

i guess its s/t wud give u the amt of strawberries processed in an hr.2320/7=331.42
331.42 pounds is processed per hr. Now foh 11 hrs =11*331.42

vampirediaries · Answer

Okay

aum · Answer

"Write a linear equation to model the relationship between the weight of strawberries S and time T".  Linear equation means you can assume that if you plot the weight of the strawberries S against time T, the plot will be a straight line.  You are given two points on the line from which you can find the equation of the line.  
The two points are: (4.5, 1445) and (7, 2320).
Slope = (2320-1445) / (7-4.5) = 875 / 2.5 = 350. 
S = mT + b 
S = 350T + b
put one of the points and find b
1445 = 350*4.5 + b = 1575 + b
b = 1445-1575 = -130
S = 350T - 130
when T = 11 hours
S = 350*11 - 130 = 3720 pounds.