ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Algebra and Functions Videos 140 videos
In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...
SAT Math: Which System of Equations Represents Kyle's Workout? 2 Views
Share It!
Description:
Kyle is working out at his local gym. He burns 150 calories for every 10 minutes he runs on the treadmill and 10 calories for every minute he uses a jump rope. He burns 430 calories over 37 minutes of working out. If r represents the amount of time he runs on the treadmill and j is the amount of time he jumps rope, both measured in minutes, which of the following systems of equations accurately represents Kyle's workout?
Transcript
- 00:01
Okay s a team Match members is the last in
- 00:04
the series of arduous painful word problems At least this
- 00:08
siri's here we go Kyle is working out of his
- 00:10
local gym yet again he burns on unfit to galleries
- 00:14
for every ten minutes he runs on the treadmill and
Full Transcript
- 00:16
ten calories For every minute he uses a jump rope
- 00:21
He burns four hundred thirty calories over thirty seven minutes
- 00:23
of working out If our represents the amount of time
- 00:27
he runs on the treadmill and j is the amount
- 00:29
of time he jumps rope both measured in minutes Here's
- 00:32
they're giving us the standard unit there which of the
- 00:35
following systems of equations accurately represents kyle's workout We're going
- 00:41
to need two equations to solve this pumped up problem
- 00:44
one for each arm The only units we have our
- 00:47
calories in minutes so start by making an equation about
- 00:49
calories The problem states kyle burns hundred fifth galleries for
- 00:52
every ten minutes he runs So he burns ah hundred
- 00:55
fifty divided by ten or fifteen calories a minute there
- 00:58
while running If he burns ten calories a minute jumping
- 01:02
rope and four hundred thirty calories in total Well then
- 01:05
we got everything we need for a toned and sculpted
- 01:07
body of an equation That's fifteen are plus ten j
- 01:10
is for thirty right there That's it The other equation
- 01:12
deals with time We'll kyle runs for our minutes and
- 01:15
jumps for j minutes Kyle is motivated for a solid
- 01:18
thirty seven minutes so our plus j is thirty seven
- 01:21
That's it you got two equations Fifteen are plus ten
- 01:24
jay's for thirty and our plus jay's thirty seven it's
- 01:26
be good work I'll make sure you wipe down the
- 01:29
calculators you use You know when you're done with them 00:01:31.934 --> [endTime] we don't want to share your sweat
Related Videos
SAT Math 1.1 Algebra and Functions. Find an algebraic equation to correspond with the data.
SAT Math 1.1 Geometry and Measurement. What is the circumference of the circle?
SAT Math 1.1 Numbers and Operations. How many combinations of beverage and cereal can be made?
SAT Math 1.1 Statistics and Probability. In which of the following data sets are the arithmetic mean and the median equal?
SAT Math: Algebra and Functions Drill 1, Problem 2. Based on the data in the table, what is the maximum heart rate for the average 22-year-old?