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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

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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