Presentation is loading. Please wait.

Presentation is loading. Please wait.

Objective: Modeling variation.

Published byTrevor Turner Modified over 6 years ago

Similar presentations

Presentation on theme: "Objective: Modeling variation."— Presentation transcript:

1 Objective: Modeling variation.
Warm up Solve the inequality. a. b. c.

2 Sarah Gomez Would you go to Homecoming with me? -Mikhail

3 Solving variation problems:
Write an equation that models the given English statement. Substitute the given pair of values into the equation in step 1 and solve for k, the constant of variation. Substitute the value of k into the equation in step 1. Use the equation form step 3 to answer the problem’s questions.

4 Example 1 The volume of blood B, in a person’s varies directly as body weight, W. A person who weighs 160 pounds has approximately 5 quartz of blood. Estimate the number of quarts of blood in a person who weighs 200 pounds.

5 Multiple Choice Example 2 The distance from San Francisco to Los Angeles is 420 miles. The time that it takes to drive to San Francisco to Los Angeles depends on the rate. Choose the best answer. Time is directly proportional to rate. Time is inversely proportional to rate.

6 Example 3 The length of a violin string varies inversely as the frequency of its vibrations. A violin string 8 inches long vibrates at a frequency of 640 cycles per second. What is the frequency of a 10-inch string?

7 Example 4 The number of minutes needed to solve an exercise set of variation problems varies directly as the number of problems and inversely as the number of people working to solve the problems. It takes 4 people 32 minutes to solve 16 problems. How many minutes will it take 8 people to solve 24 problems?

Download ppt "Objective: Modeling variation."

Similar presentations

Direct Variation and Proportion

Direct Variation and Proportion
A3 3.7 Direct and Indirect Variation

A3 3.7 Direct and Indirect Variation
Modeling Using Variation

Modeling Using Variation
Date: 2.2 Power Functions with Modeling Definition Power Function Any function that can be written in the form: is a power function. The constant a is.

Date: 2.2 Power Functions with Modeling Definition Power Function Any function that can be written in the form: is a power function. The constant a is.
a.k.a. Proportion functions

a.k.a. Proportion functions
Direct and Inverse Variation Student Instructional Module Use the buttons below to move through this module Algebra A: 4-7 & 4-8 Return home Go to the.

Direct and Inverse Variation Student Instructional Module Use the buttons below to move through this module Algebra A: 4-7 & 4-8 Return home Go to the.
1 1.7 Direct and Inverse Variation The circumference of a circle is given by the formula C = 2  r, where r is the radius of the circle. The circumference.

1 1.7 Direct and Inverse Variation The circumference of a circle is given by the formula C = 2  r, where r is the radius of the circle. The circumference.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Table of Contents Direct and Inverse Variation Direct Variation When y = k x for a nonzero constant k, we say that: 1. y varies directly as x, or 2. y.

Table of Contents Direct and Inverse Variation Direct Variation When y = k x for a nonzero constant k, we say that: 1. y varies directly as x, or 2. y.
Direct Variation: y varies directly as x (y is directly proportional to x), if there is a nonzero constant k such th at 3.7 – Variation The number k is.

Direct Variation: y varies directly as x (y is directly proportional to x), if there is a nonzero constant k such th at 3.7 – Variation The number k is.
Variation and Proportion Indirect Proportion. The formula for indirect variation can be written as y=k/x where k is called the constant of variation.

Variation and Proportion Indirect Proportion. The formula for indirect variation can be written as y=k/x where k is called the constant of variation.
The general equation for DIRECT VARIATION is k is called the constant of variation. We will do an example together.

The general equation for DIRECT VARIATION is k is called the constant of variation. We will do an example together.
Write and graph a direct variation equation

Write and graph a direct variation equation
Direct and Inverse Variation

Direct and Inverse Variation
§ 6.8 Modeling Using Variation. Blitzer, Intermediate Algebra, 5e – Slide #2 Section 6.8 Variation Certain situations occur so frequently in applied situations.

§ 6.8 Modeling Using Variation. Blitzer, Intermediate Algebra, 5e – Slide #2 Section 6.8 Variation Certain situations occur so frequently in applied situations.
Notes Over 4.5 Writing a Direct Variation Equation In Exercises 1-6, the variable x and y vary directly. Use the given values to write an equation that.

Notes Over 4.5 Writing a Direct Variation Equation In Exercises 1-6, the variable x and y vary directly. Use the given values to write an equation that.
Direct & Inverse Variation

Direct & Inverse Variation
Lesson 2.8, page 357 Modeling using Variation Objectives: To find equations of direct, inverse, and joint variation, and to solve applied problems involving.

Lesson 2.8, page 357 Modeling using Variation Objectives: To find equations of direct, inverse, and joint variation, and to solve applied problems involving.
2.8 Modeling Using Variation Pg. 364 #2-10 (evens), 22-34 (evens) Objectives –Solve direct variation problems. –Solve inverse variation problems. –Solve.

2.8 Modeling Using Variation Pg. 364 #2-10 (evens), (evens) Objectives –Solve direct variation problems. –Solve inverse variation problems. –Solve.
9-4 Variation Direct Variation Inverse Variation Joint Variation.

9-4 Variation Direct Variation Inverse Variation Joint Variation.

Similar presentations

Ads by Google