Complete the parts below. Write your answers as whole numbers or fractions in simplest form.
(a)A construction crew built 9 kilometers of road in 45 days. Give two different unit rates using this relationship.
(b)Assume the crew builds the same amount of road each day. How many kilometers of road can they build in 35 days?
(a) Unit rate #1: 9 kilometers of road in 45 days can be written as 9 km/45 days. This unit rate can be simplified to 1/5 km/day.
Unit rate #2: Inversely, we can also write the unit rate as 45 days/9 km. This can be simplified to 5 days/km.
(b) If the crew builds the same amount of road each day, we can use the first unit rate (1/5 km/day) to calculate the number of kilometers they can build in 35 days.
(1/5 km/day) x 35 days = 7 km.
Therefore, the crew can build 7 kilometers of road in 35 days.