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

Answer:

Andrew walks more steps than Sarah.

Step-by-step 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 = $5\times 60 = 300\ min$

For Andrew:

Using unitary method:

If in 50 minutes Andrew walks = 6000 steps.

In 1 minute he will walk = $\frac{6000}{50}$ = 120 steps

In 300 minutes he will walk = $120\times 300 = 36000$ 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 $36,000>35,400$.