Question

Shelly and her family are riding the Pikes Peak Cog Railway. The table shows the approximate distances the train has covered at the end of different time periods. Grade 8 Unit 7 Unit Test Question 2 Image 1 Based on the information in the table, which equation can be used to find the distance (d), the train will travel in any number of minutes (m)? Group of answer choices d=0.12m d=0.18m d=0.36m d= 0.83m

Answer 1

The equation that can be used to find the distance (d), the train will travel in any number of minutes (m) is d=0.12m

Explanation:

we know that

distance =
`(speed)/(time)`

From the table below

CASE 1:

When time is 5 minutes and distance is 0.6 miles

Speed =
`(Distance)/(time)`

Speed =
`(0.6)/(5)`

speed = 0.12

CASE 2:

When time is 8 minutes and distance is 0.96 miles

Speed =
`(Distance)/(time)`

Speed =
`(0.96)/(8)`

speed = 0.12

CASE 3:

When time is 11 minutes and distance is 1.32 miles

Speed =
`(Distance)/(time)`

Speed =
`(1.32)/(11)`

speed = 0.12

CASE 4:

When time is 14 minutes and distance is 1.68 miles

Speed =
`(Distance)/(time)`

Speed =
`(1.68)/(14)`

speed = 0.12

CASE 5:

When time is 17 minutes and distance is 2.04 miles

Speed =
`(Distance)/(time)`

Speed =
`(2.04)/(17)`

speed = 0.12

CASE 6:

When time is 20 minutes and distance is 2.4 miles

Speed =
`(Distance)/(time)`

Speed =
`(2.4)/(20)`

speed = 0.12

In all the cases we get the speed as 0.12

Hence the equation can be

d = 0.12 m

where d is the distance(in miles) and m is the time(in minutes)