Question

Andrew and Sarah are tracking the number of steps they walk. Andrew records that he can walk 6000 steps in 50 minutes. Sarah writes the equation y=118x where y is the number of steps and x is the number of minutes she walks, to describe her step rate.

Answer 1

Andrew walks more steps than Sarah.

Explanation:

The question is incomplete. The complete question is :

Andrew and Sarah are tracking the number of steps they walk. Andrew records that he can walk 6000 steps in 50 minutes. Sarah writes the equation y=118x, where y is the number of steps and x is the number of minutes she walks, to describe her step rate. This week, Andrew and Sarah each walk for a total of 5 hours. Who walks more steps?

Solution:

Given:

Andrew walks 6000 steps in 50 minutes.

Number of steps Sarah walks is given by the equation :

`y=118x`

where
`y` is the number of steps and
`x` is the number of minutes she walks.

Finding the number of steps each walks in 5 hours.

Total number of minutes in 5 hours =
`5* 60 = 300\ min`

For Andrew:

Using unitary method:

If in 50 minutes Andrew walks = 6000 steps.

In 1 minute he will walk =
`(6000)/(50)` = 120 steps

In 300 minutes he will walk =
`120* 300 = 36000` steps

Thus, Andrew will walk 36,000 steps in 5 hours.

For Sarah:

We will plugin
`x=300` in the equation and solve for
`y`.

We have:

`y=118(300)`

∴
`y=35400`

Thus, Sarah will walk 35,400 steps in 5 hours.

Therefore, Andrew walks more steps than Sarah as
`36,000>35,400`.