4.8 Rate-Time-Distance Problems Objective: To solve some word problems involving uniform motion. Warm – up: Use the distance formula to answer the following.

Slides:

Advertisements

Similar presentations

Distance-Rate-Time Applications Example 1: Amy rides her bike to work in 30 minutes. On the way home she catches a ride with a friend and arrives home.

Advertisements

Rate-Time-Distance Problems Algebra Rate-Time-Distance Problems An object is in uniform motion when it moves without changing its speed, or rate. These.

Distance, Speed and Time

Rate-Time-Distance Problem By M. L  Two jets leave Denver at 9:00 A.M., one flying east at a speed 50 km/h greater than the other, which is.

POLYNOMIALS Chapter Exponents EXPONENTIAL FORM – number written such that it has a base and an exponent 4 3 =

Rate-Time-Distance Problems

4.8 Rate-Time-Distance Problems

Warm up Solve:. Lesson 2-2 Applications of Algebra Objective: To use algebra to solve word problems.

OBJECTIVE: SOLVE WORD PROBLEMS INVOLVING UNIFORM MOTION Motion in Opposite Directions.

EXAMPLE 1 Using a Variable Expression Hot Air Balloons You are riding in a hot air balloon. After traveling 5 miles, the balloon speed changes to 6 miles.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

Unit 7 - Lesson 2 Rate of Change – Part 1 15 Learning Goals: I can determine the rate of change of a linear relation using a graph. I can determine what.

Section 4Chapter 2. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives 2 3 Further Applications of Linear Equations Solve problems about.

Monday’s Warm Up. Objective By the end of today’s lesson, you will be able to solve an equation for a particular letter, given that the equation contains.

Speed, Distance & Time Speed, Distance, Time Calculations.

Speed ( ) is the distance an object travels divided by the time to travel that distance. In other words –Speed is a scalar quantity (no direction). These.

Do Now: What is the speed of an object that is standing still? Objective: to define and calculate speed.

Solving Equations with Variables on Both Sides Tutorial 6d.

T = 5 x = 9 x = 6/5 Solve ANSWER How long would it take you To travel 2 miles going 60mph?. 2 minutes.

Solving Simultaneous Linear Equations on the Problems of Relative Motion.

Round-Trip Travel Sarah drives into the city to buy a software program at a computer store. Because of traffic conditions, she averages only 15 mi/h. On.

Long Test 2 – Feb. 13 (Monday) -finding the restrictions/excluded values -solving rational equations - translating phrases - word problems.

Evaluating Algebraic Expressions 3-3Solving Multi-Step Equations What are the steps for solving multi-step equations? What are the steps for solving multi-step.

If a snowball melts so that its surface area decreases at a rate of 1 cm 3 /min, find the rate at which the diameter decreases when the diameter is 10.

4-2 EQUATIONS WITH VARIABLES ON BOTH SIDES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: SOLVE EQUATIONS WITH VARIABLES ON BOTH SIDES; IDENTIFY EQUATIONS THAT.

In this presentation, you will learn how to solve problem number 5 which involves Rate, Time,and Distance. You will solve this problem by using the.

Lesson 2-5 Warm-Up.

8.6 Digit and Coin Problems Goal: To use a system of equations to digit problems.

RS U2C1A6 Turn to page137& copy the key question. “ Describing the Motion of an Object with Constant Speed”

Chapter 4, Lesson 8 Rate-Time- Distance Problems By:A. s.

Algebra Motion Problems (Rate-Time-Distance). The Formula Rate ● Time = Distance Average speed Elapsed timeLinear Distance 50 mph ● 3 hours = 150 miles.

(For help, go to Lesson 1-1.) ALGEBRA 1 LESSON 4-8 Write a variable expression for each situation. 1.value in cents of q quarters 2.twice the length 3.number.

Word Problems: Distance, rate and time Type A: Same – Direction of travel A train leaves a train station at 1 pm. It travels at an average rate.

3.6 Distance. 3.6 – Equations & Problem Solving Goals / “I can…” Define a variable in terms of another variable Model distance-rate-time problems.

 You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.

(For help, go to Lesson 1-1.) ALGEBRA 1 LESSON 2-7 Write a variable expression for each situation. 1.value in cents of q quarters 2.twice the length 3.number.

How do you know something is moving? Question:. Measuring Motion.

Motion Speed. Motion  Motion: A change in position Depends on reference point Is the mom moving relative to the dad? Is the mom moving if you were on.

Warmups Solve for x. Fifteen decreased by some number is 34. Find the number. a) Define a variable, b) write an equation, and c) solve a) b) c)

DISTANCE = RATE*TIME D = rt D = r(t) D = r x t.

Answer the Tuesday Question on your bellwork page. BELLWORK

Motion Problems 2 A man bikes from A to B at 20 km/h. He returns by car at 60 km/h. The bike trip is 2 hours longer than the car trip. How far is it.

(For help, go to Lesson 1-1.) ALGEBRA 1 LESSON 2-5 Write a variable expression for each situation. 1.value in cents of q quarters 2.twice the length 3.number.

Chapter 3: Solving Equations 3.6 Equations & Problem Solving.

(For help, go to Lesson 1-1.) ALGEBRA 1 LESSON 2-5 Write a variable expression for each situation. 1.value in cents of q quarters 2.twice the length 3.number.

Unit 5 Relationships among forms of energy

Solving word problems work distance.

Forces and Motion

How do you know something is moving?

The 3 formulas for Speed, Time & Distance:

Speed, Distance, Time Calculations

Forces and Motion

Solve ANSWER x = 9 ANSWER t =

Ratios, Rates and Percents

Speed, Distance, Time Calculations

8.5 Motion Problems.

Equations and Problem Solving

Speed, Distance, Time Calculations

Warm up #4 Six apples and three oranges cost $3. 36

Speed, Distance, Time Calculations

Speed, Distance, Time Calculations

Speed, Distance, Time Calculations

Speed, Distance, Time Calculations

Speed, Distance, Time Calculations

Speed, Distance, Time Calculations Final Review

Speed, Distance, Time Calculations

Equations of Motion.

Speed, Distance, Time Calculations

Presentation transcript:

4.8 Rate-Time-Distance Problems Objective: To solve some word problems involving uniform motion. Warm – up: Use the distance formula to answer the following. 1) What is the distance traveled in 6 h at 60 km/h? 2) What is the average rate of speed if 275 km are traveled in 5.5 h? 3) How long does it take to travel 288 km at an average rate of 72 km/h?

4.8 Rate-Time-Distance Problems Complete each with an expression involving the given variable. o Bill runs at a rate of r mi/h. Will runs twice as fast. Will’s rate is ________ mi/h. o Joshua rides his bike to school in k min. His sister Rachel takes 15 min longer to walk. She spends _______ min walking to school. o Sue and Carol start bicycling toward each other at the same time from homes 9 miles apart. When they meet, Carol has traveled c mi. Sue has traveled ________ mi.

4.8 Rate-Time-Distance Problems Motion in opposite directions. o Bicyclists Brent and Jane started at noon from points 60 km apart and rode toward each other, meeting at 1:30pm. Brent’s speed was 4km/h greater than Jane’s speed. Find their speeds. o Mary Beth and Michael leave school traveling in opposite directions. Michael is walking and Mary Beth is biking, averaging 6 km/h more than Michael. If they are 18 km apart after 1.5 h, what is the rate of each? ratetimedistance Brent Jane ratetimedistance Mary Beth Michael

4.8 Rate-Time-Distance Problems Homework: – Pg. 170 Written Exercises #1, 5, 7 Pg. 171 Mixed Review #1 – 8