Question

Danielle walked from her house to several locations in her town. The graph represents her distance from home after x hours.

How many miles from home was Danielle after 1/2 hour

For how many hours was Danielle away from home

For how many hours did Danielle stay at the first location she reached

Answer 1

Danielle was
`1` mile away from her house after
`(1)/(2)` hour and total
`4` hours she stayed away from her home.

At the first location she stay for an hour.

Explanation:

a.How many miles from home was Danielle after
`(1)/(2)` hour?

To find this we have to look upon
`x-axis` that is hours and and match with
`y-axis`.

So we have
`4`units as
`1` hour and half an hour is
`2` units on x-axis.

Then we have 1 miles on y-axis.

So she was
`1`mile away from home after
`(1)/(2)` hour.

b.For how many hours was Danielle away from home?

The time axis ends at
`4` so Danielle was away for
`4` hours.

c.For how many hours did Danielle stay at the first location she reached?

At the first location she stays for an hour as the distance covered here is zero.

The graph between 1 hr and 2 hr is flat where distance is zero so Danielle stays for an hour at this location then travels further.

Danielle was
`1` mile away from her house after
`(1)/(2)` hour and total
`4` hours she stayed away from her home.

At the first location she stay for an hour.