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Mathematical Reasoning Videos 30 videos

CAHSEE Math 1.1 Mathematical Reasoning
228 Views

CAHSEE Mathematical Reasoning: Drill 1, Problem 1. Based on this information, which of the following can be determined?

CAHSEE Math 1.2 Mathematical Reasoning
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CAHSEE Math Mathematical Reasoning: Drill Set 1, Problem 2. Which of the following should be the most appropriate first step in solving the equation?

CAHSEE Math 1.3 Mathematical Reasoning
183 Views

CAHSEE Math Mathematical Reasoning: Drill 1 Problem 3. Which of the following is the correct order of steps?

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CAHSEE Math 4.3 Mathematical Reasoning 180 Views


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Description:

Mathematical Reasoning Drill 4, Problem 3. For approximately how long did the pie remain higher than the three-story building?

Language:
English Language

Transcript

00:03

And here's your shmoop du jour...

00:05

The following graph shows the relationship between the height (in feet) of a cream pie that

00:09

a clown threw from the ground with an initial velocity of 48 feet per second, and the time (in seconds).

00:15

It is estimated that the height of a one-story building is 10 feet.

00:20

For approximately how long did the pie remain higher than the three-story building?

00:24

And here are the potential answers…

00:28

The question asks roughly how long the object was higher than a three-story building.

00:32

It also tells us that the height of one story is 10 feet.

00:36

We can multiply 10 by 3, since we want a three-story building,

00:40

to get that a three-story building that is thirty feet high.

00:43

So, we want to figure out how long the pie was at least thirty feet high.

00:48

To do this, we need to figure out about where thirty feet is on our graph.

00:52

The graph shows the height of the pie in terms of time, which is perfect for us, since we

00:56

want to figure out how long the object was above thirty feet.

01:01

In other words, if we draw a line at y equals thirty feet, we want to figure out how long

01:05

the parabola is above the line.

01:08

We can see that on the y-axis, 24.188 and 36.281 are marked.

01:13

Since the question asks us for the answer approximately,

01:16

we can round a little bit and consider those as 24 and 36.

01:21

Luckily for us, 30 is exactly in between 24 and 36, which means that

01:25

the line between the two is roughly thirty feet.

01:28

Now all we have to do is find where the curve has a y-value greater than thirty.

01:33

We can see that it intersects the line we’ve designated as about thirty a little before

01:37

one second on its way up…

01:39

…and it intersects the line a little past two on its way down.

01:43

This comes out to covering a distance on the x-axis that’s a little more than one second,

01:47

but probably less than a second and a half.

01:51

The only answer that fits that criterion is (B), 1.2 seconds.

01:55

As in, “Boink!”

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