Question

Armando likes to watch sports on television. He recorded the following statistics about four games he watched. (Note: The times below include television commercials and commentary.) SportTime WatchedAmount of Game Watched basketball1 hr 27 min1 of 2 halves football48 min1 of 4 quarters soccer50 min1 of 2 halves baseball1 hr 24 min4 of 9 innings Order the sports by their unit rates in hours per game from least to greatest.

Answer 1

For basketball, the unit rate is given by:


`(1\, hr\ 27\, mins)/(1\, of\, 2\, halfs) = (1.45)/(0.5) =2.9\, hours\, per\, game`

For football, the unit rate is given by:


`(48\, mins)/(1\, of\, 4\, quarters) = (0.8)/(0.25) =3.2\, hours\, per\, game`

For soccer, the unit rate is given by:


`(50\, mins)/(1\, of\, 2\, halfs) = (0.8333)/(0.5) =1.67\, hours\, per\, game`

For baseball, the unit rate is given by:


`(1\, hr\ 24\, mins)/(4\, of\, 9\, innings) = (1.4)/(0.4444) =3.15\, hours\, per\, game`

Therefore, the order of the unit rates from the least to the greatest is given by:

Soccer ---> Basketball ---> Baseball ---> Football