Answer :
The machine's equation for producing 5 miles of ribbon per hour
- r = 5x
the machine makes 40 miles of ribbon in 8 hours.
The machine's equation for producing 8 miles of ribbon per hour
- r = 8x
the machine makes 64 miles of ribbon in 8 hours.
How to write the equations to show ribbon the machine can make in a given time
In one hour, a machine can produce 5 miles of ribbon.
1 hour = 5 miles
The answer to how much ribbon, r, is produced after x hours is
1 hour = 5 miles
x hours = r miles
multiplying
r = 5x
In 8 hours
R = 5x = 5*8 = 40 miles.
The machine produces 40 miles of ribbon in 8 hours.
Another machine can produce 8 miles of ribbon.
1 hour = 8 miles
The answer to how much ribbon, r, is produced after x hours is
1 hour = 8 miles
x hours = r miles
multiplying
r = 8x
In 8 hours
R = 8x = 8 * 8 = 64 miles.
The machine produces 64 miles of ribbon in 8 hours.
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