ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Playlist Algebra and Functions Test Questions 74 videos
CAHSEE Math Algebra and Functions: Drill Set 1, Problem 1. At this rate, what is the total cost of 10 songs?
CAHSEE Math Algebra and Functions: Drill Set 1, Problem 2. Which of the following represents the statement?
CAHSEE Math: Algebra and Functions: Drill Set 1, Problem 3. What equation fits the description?
SAT Math 1.2 Algebra and Functions 359 Views
Share It!
Description:
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?
- Functions / Translations
- Product Type / SAT Math
- Functions / Interpret functions that arise in applications
- Functions / Interpret functions that arise in applications
- Functions / Build a function that model a relationship between two quantities
- Functions / Build functions that model a relationship between two quantities
- Functions / Construct and compare linear, quadratic and exponential models
- Functions / Construct and compare linear, quadratic, and exponential models
- Functions / Interpret expressions for functions in terms of the situation they model
- Functions / Interpret expressions for functions in terms of the situation they model
- Functions / Interpret functions that arise in applications in terms of context
- Functions / Build a function that models a relationship between two quantities
- Functions / Construct and compare linear, quadratic, and exponential models
- Functions / Interpret functions that arise in applications
- Functions / Interpret functions that arise in applications
- Functions / Build a function that models a relationship between two quantities
- Functions / Construct and compare linear, quadratic, and exponential models
- Problem Solving and Data Analysis / Two-way table data
Transcript
- 00:02
And we're getting math-y with it...
- 00:04
The table below gives the average maximum heart rate,
- 00:07
by age, for a person exercising at full effort.
- 00:11
Based on the data in the table,
- 00:13
what is the maximum heart rate for the average 22-year-old?
Full Transcript
- 00:17
And here are your possible answers...
- 00:21
If we look at the data, as age increases by 5, average max heart rate decreases by 5.
- 00:28
Since age acts as our independent variable and average max
- 00:32
heart rate acts as our dependent variable,
- 00:38
we can calculate the change in average heart rate over age as the slope of our equation.
- 00:44
Which gives us negative 1.
- 00:46
The point slope form of a linear equation is y minus y1 equals slope times x minus x1.
- 00:54
h is y in this situation because it's the dependent variable, and a is x in this situation
- 01:01
because it's the independent variable.
- 01:04
We can take any x1 and y1 point to plug into the point-slope form of the equation...so
- 01:10
let's just take the points 20, 200.
- 01:13
We get h - 200 = -1(a - 20).
- 01:18
H minus 200 equals negative a plus 20.
- 01:22
Adding 200 to both sides of the equation... we have h equals 220 minus a.
- 01:27
We're looking for h given that a equals 22 years old.. so we get that h equals 198.
- 01:34
Answer's E.
Related Videos
SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?
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...
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...