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ACT Aspire Math: Multiplying Proportions to Map Jenna's Journey 0 Views
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Description:
On a map, 2 inches represent 1000 miles. Jenna's plane travels at 550 miles per hour and lands after 7 hours.
If she draws a straight line on the map from the airport of departure to the airport of arrival to visualize the distance she traveled, what would be the length of the line in inches?
Transcript
- 00:01
Okay Aspiring math people Another drill for you on a
- 00:04
map Two inches represent a thousand miles Jenna's luxury jet
- 00:09
travels at five hundred fifty miles an hour in lands
- 00:11
after seven hours If she draws a straight line on
- 00:14
the map from the airport of departure to the airport
Full Transcript
- 00:16
of arrival to visualize the distance she traveled what would
- 00:18
be the length of the line and inches Living A
- 00:28
life of luxury must be so tough with all that
- 00:30
time on your hands there jenna can we at least
- 00:33
get a ride if we carry your luggage or something
- 00:36
All right the question tells us that two inches on
- 00:38
a map represents a thousand miles in real life We're
- 00:41
looking for the length of that line that represents jenna's
- 00:44
journey on the map But table that for a second
- 00:46
and start by calculating how far jenna traveled Well five
- 00:50
hundred fifty miles in seven hours That's thirty eight hundred
- 00:52
fifty miles and we have more units than we need
- 00:55
here so it's time to get rid of some of
- 00:56
them Sorry it's not you miley miles It's the problem
- 01:00
Yeah okay so let's do this equation or three eight
- 01:03
fifteen miles We're going two inches to a thousand miles
- 01:06
and that gets us seven point seven inches that she
- 01:10
traveled Well as with numbers and variables we can cancel
- 01:13
units like this that appear in both the numerator and
- 01:16
the denominator of a fraction And doing so leaves us
- 01:18
with inches which is what we're looking for in the
- 01:21
first place So that's it Answer is seven point seven
- 01:23
inches way did that We'd have a little teeny tiny 00:01:27.107 --> [endTime] jet Would be kind of cute Quiet
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