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find the unit rate. check the reasonableness of the unit rate in the gi…

Question

find the unit rate. check the reasonableness of the unit rate in the given context.

  1. it rains 28 inches in 8 hours.
  2. you pay $2.73 for 100 sheets of paper.
  3. a plane flies 2275 miles in 3.5 hours.
  4. you are paid $90 for delivering newspapers for 6 days.

Explanation:

Step1: Calculate rain unit rate

Divide total inches by hours:
$\frac{28}{8} = 3.5$ inches per hour

Step2: Calculate paper cost unit rate

Divide total cost by sheets:
$\frac{2.73}{100} = 0.0273$ dollars per sheet

Step3: Calculate plane speed unit rate

Divide total miles by hours:
$\frac{2275}{3.5} = 650$ miles per hour

Step4: Calculate delivery pay unit rate

Divide total pay by days:
$\frac{90}{6} = 15$ dollars per day

Answer:

  1. 3.5 inches of rain per hour
  2. $0.0273 per sheet of paper
  3. 650 miles per hour
  4. $15 per day