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Question
10 numeric 1 point a cannery processed 425 pounds of strawberries in 2.5 hours. the cannery processed 2150 pounds in 10 hours. how many pounds of strawberries can be processed in 8 hours? answer: 11 multiple choice 1 point rewrite the linear equation ( y + 15 = 7(x - 20) ) from point - slope form to slope intercept form (( y = mx + b )) ( y = 7x + 125 ) ( y = 7x + 5 ) ( y = - 8x - 5 ) ( y = 7x - 155 ) ( y = - 8x + 5 ) ( y = 7x - 35 ) ( y = - 8x - 140 ) ( y = - 8x - 20 )
Problem 10
Step1: Calculate hourly processing rate
First, verify the consistent hourly rate using both given data sets:
From first set: $\frac{425}{2.5} = 170$ pounds/hour
From second set: $\frac{2150}{10} = 215$ pounds/hour
Note: There is a discrepancy in the given data, but we use the second rate (more precise 10-hour window) for calculation.
Step2: Compute 8-hour processing amount
Multiply hourly rate by 8 hours:
$215 \times 8 = 1720$
To convert the point-slope equation $y + 15 = 7(x - 20)$ to slope-intercept form ($y=mx+b$), isolate $y$ by expanding the right side and simplifying:
- Distribute the 7: $y + 15 = 7x - 140$
- Subtract 15 from both sides: $y = 7x - 155$
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1720
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