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Answer :
To determine which rate converts to a unit rate of [tex]$10.50 per hour, let's go through each option by dividing the total amount by the number of hours to find the rate per hour. We are looking for the option that gives us exactly $[/tex]10.50 per hour.
1. Option A: [tex]$85.50 per 9 hours
- Calculate the unit rate: $[/tex]85.50 ÷ 9 = [tex]$9.50 per hour
2. Option B: $[/tex]63 per 6 hours
- Calculate the unit rate: [tex]$63 ÷ 6 = $[/tex]10.50 per hour
3. Option C: [tex]$92 per 8 hours
- Calculate the unit rate: $[/tex]92 ÷ 8 = [tex]$11.50 per hour
4. Option D: $[/tex]62.50 per 5 hours
- Calculate the unit rate: [tex]$62.50 ÷ 5 = $[/tex]12.50 per hour
After performing these calculations, we can see that Option B ([tex]$63 per 6 hours) results in a unit rate of $[/tex]10.50 per hour. Therefore, the correct answer is Option B.
1. Option A: [tex]$85.50 per 9 hours
- Calculate the unit rate: $[/tex]85.50 ÷ 9 = [tex]$9.50 per hour
2. Option B: $[/tex]63 per 6 hours
- Calculate the unit rate: [tex]$63 ÷ 6 = $[/tex]10.50 per hour
3. Option C: [tex]$92 per 8 hours
- Calculate the unit rate: $[/tex]92 ÷ 8 = [tex]$11.50 per hour
4. Option D: $[/tex]62.50 per 5 hours
- Calculate the unit rate: [tex]$62.50 ÷ 5 = $[/tex]12.50 per hour
After performing these calculations, we can see that Option B ([tex]$63 per 6 hours) results in a unit rate of $[/tex]10.50 per hour. Therefore, the correct answer is Option B.
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