ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Problem Solving and Data Analysis Videos 50 videos

Using Conversion Factors to Solve for Density in Moles
8 Views

A mole is a unit used in chemistry to measure atoms, molecules, electrons, and other particles in a given amount of substance. We know that the mol...

Identifying Exponential Patterns in a Data Set
4 Views

The table above estimates the population increase of a colony of bacteria over the course of five years. Which of the following best characterizes...

Calculating Probability Using Watermelon Candy and Email Surveys
3 Views

Employees of a candy company surveyed people of different ages and asked them their favorite flavor of candy. One of the surveyors chooses to send...

See All

SAT Math 4.2 Algebra and Functions 198 Views


Share It!


Description:

SAT Math 4.2 Algebra and Functions

Language:
English Language

Transcript

00:02

Here’s your shmoop du jour, brought to you by decreasing terms.

00:06

No…that would be decreasing terns.

00:09

After the first term, x, each term is determined as half of the previous term plus 4.

00:17

What is the ratio of the fourth term to the first?

00:21

And here are the potential answers…

00:27

For this question, we’re asked to find the ratio of the fourth term to the first.

00:32

Well a ratio is just a relationship between two numbers…

00:38

So to find the ratio between the fourth term and the first, we know we should take the

00:42

value of the fourth term and divide it by the value of the first term…which is given

00:47

to us as x. Now all we have to do is find the value of

00:51

the fourth term. We’re told that after the first term, x,

00:54

each term is determined as half of the previous term plus 4.  

00:59

So the second term will be half of the first term, plus 4…or one-half x plus 4.

01:07

The third term will be half of the second term plus 4 or, simplified, one fourth x plus 6.

01:14

The fourth term will be half of the third term plus 4, or one eighth x plus 7.

01:21

So our ratio is one eighth x plus 7 all over x.

01:26

Change the fraction one-eighth into decimal form, which is 0.125…

01:32

and the correct answer is (C)… 0.125x plus 7 all over x.

Related Videos

SAT Math 2.1 Geometry and Measurement
2779 Views

SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?

SAT Math 9.4 Algebra and Functions
1300 Views

SAT Math 9.4 Algebra and Functions

SAT Math 9.2 Algebra and Functions
377 Views

SAT Math 9.2 Algebra and Functions

SAT Math: Identifying an Equation for the Average of Two Percentages
23 Views

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 Equation Represents Profit?
13 Views

Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...