ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Rates of Change Videos 3 videos

CAHSEE Math 6.3 Algebra and Functions
235 Views

Algebra and Functions: Drill Set 6, Problem 3. How many fritters are made during the typical breakfast hours between 6:00AM and 11:30AM at thi...

CAHSEE Math 6.4 Algebra and Functions
214 Views

Algebra and Functions: Drill Set 6, Problem 4. How many miles can Karen run in 12.5 minutes?

CAHSEE Math 2.5 Algebra I
200 Views

Algebra I Drill 2, Problem 5. How much did Donna need to pay for texting last month?

See All

CAHSEE Math 6.4 Algebra and Functions 214 Views


Share It!


Description:

Algebra and Functions: Drill Set 6, Problem 4. How many miles can Karen run in 12.5 minutes?

Language:
English Language

Transcript

00:02

Here's a shmoopy question...

00:05

Karen is running away from the zombies who are pursuing her.

00:08

She can run two-thirds of a mile in five minutes.

00:11

At this rate, how many miles can she run in 12.5 minutes?

00:15

And here are the potential answers.

00:18

Before we spoil the ending, hit pause and try it yourself.

00:21

OK, this problem is asking about rates, time and distance.

00:25

We have to apply the ratio and figure out the function.

00:28

And assume that Karen has great endurance. So to solve we just set up a ratio.

00:33

We have two thirds of a mile in 5 minutes.

00:36

Assuming there is no degradation in speed over the longer distance...

00:39

...then we have a ratio of 2 over 15 miles in 1 minute.

00:43

In case you missed that, we just did 2/3 divided by 5, to get 2 over 15.

00:51

To find out how many miles she can run in 12.5 minutes, we can just multiply 2 over 15 times 12.5.

00:58

Let's convert 12.5 into a fraction so that it's easier to multiply fractions.

01:03

12.5 converts to 25 over 2... so 25 over 2 times 2 over 15.

01:11

The 2's cancel out, so we have 25 over 15, or five-third miles.

01:17

Convert our improper fraction to a mixed number, and we have 1 and two-third miles.

01:22

Looks like our answer is B.

01:24

Now that's using our brains.

Related Videos

CAHSEE Math 5.3 Algebra and Functions
2033 Views

CAHSEE Math: Algebra and Functions Drill 5, Problem 3. Solve the equation.

Plotting Points in 3D
833 Views

The video will show you how to plot points in 3D using the axes of the 3D coordinate system. Make sure you're wearing your special glasses for this...

Graphing Linear Inequalities on a Coordinate Plane
6270 Views

When graphing inequalities, you graph the line, shade the corresponding side, and plug in the point. The end!

Coordinates and Distance Formula
7937 Views

One formula to rule them all, one formula to find them. One formula to bring them all, and in the darkness bind them. Or something like that. I...