Question

For parts (a) and (b) below, choose the correct description.Fill in the blanks as necessary.(a) A train travels from City A to City B. The table below shows the distance andthe amount of time it takes on the train.Distance (km)183648Time (in minutes)368The train does not always go the same distance each minute.The train appears to go the same distance each minute.Predicted distance traveled in 9 minutes: km(b) Pablo is deciding how many people to take to the movies. The table belowshows the cost for different sized groups of people.Number in group35.

Answer 1

(a) Find the ratio of each distance given in the table to the corresponding time. If the ratio gives a constant value, then the train travelled same distance each minute.

The ratio is a constant. Hence the train appears to go the same distance each minute.

Distance traveled in one minute = 6 km

Predicted distance traveled in 9 minutes

`\begin{gathered} =9\cdot6 \\ =54km \end{gathered}`

(b) Find the ratio of cost to the corresponding size of people. If the ratio gives a constant value, then the cost for each person appears to be same.

Here, the ratio is not a constant value. Hence the cost for each person is not always the same.