Practical Problem: Find Travel Speed
In a practical illustration, travel speed is calculated using two ordered pairs.
Subject: ratio
Transcript: RATIO THAT WILL TELL US MILES PER HOUR. WHICH VARIABLE STANDS FOR MILES? WHICH ONE STANDS FOR HOURS? THINK OF THE SLOPE FORMULA. X IS HOURS, Y IS MILES
Slope is the Same Everywhere on a Straight Line
The ratio of a sloped line remains the same anywhere on that line and is unaffected by positive or negative position.
Subject: ratio
Transcript: NEGATIVE 2. THEN MOVE DOWN 4 UNITS. THE VERTICAL CHANGE IS NEGATIVE 4. NEGATIVE 4 OVER NEGATIVE 2. THE NEGATIVES CANCEL AND THE RATIO REDUCES TO 2/1, OR JUST
Practical Problem: Gas and Oil Mixture
A a two-cycle engine runs on a mixture of oil and gas. A practical problem involves determining how many ounces of oil to add to a gallon of gas to get the right mixture. The problem is solving with proportion.
Subject: ratio
Transcript: PROPORTION. THE FUEL IS SUPPOSED TO BE 1 PART OIL FOR EVERY 40 PARTS OF GAS. THE OIL TO GAS RATIO IS 1/40. WE HAVE 128 OUNCES OF GAS. WE'LL ADD X OUNCES OF OIL
Solving a Proportion Problem
The number of bags of seed needed to cover a particular area, given the area one bag will cover, is calculated using a proportion.
Subject: ratio
Transcript: HERE'S ANOTHER WAY TO USE RATIOS. SUPPOSE ONE BAG OF GRASS SEED COVERS 5,000 SQUARE FEET OF LAWN. THREE BAGS WILL COVER 15,000 SQUARE FEET. HERE
Slope Defined
Slope is the ratio that shows the rate of change between two pints. Calculating slope using a graph is demonstrated.
Subject: ratio
Transcript: . SLOPE IS THE RATIO THAT SHOWS US THE RATE OF CHANGE BETWEEN TWO POINTS. WHEN X IS HOURS AND Y IS DOLLARS, SLOPE TELLS US THE COST IN DOLLARS PER HOUR
Review of Ratios
A ratio is a direct comparison between two numbers. A batting average, which is the ratio of a player's hits to the number of times at bat, is
Subject: ratio
Transcript: A RATIO IS SIMPLY A DIRECT COMPARISON BETWEEN TWO NUMBERS. FOR EXAMPLE, TO MEASURE SPEED WE COMPARE THE NUMBER OF MILES TRAVELED TO THE NUMBER OF
Finding Rate From a Graphed Line
Plotting a second line on a graph produces a comparison of the hourly cost to park at two different parking lots.
Subject: ratio
Transcript: CAN REDUCE THIS RATIO TO A WHOLE NUMBER, 2. WE CAN ALSO LEAVE IT AS A RATIO, 2/1. NO MATTER HOW WE EXPRESS THE SLOPE, WHEN X, THE NUMBER OF HOURS
Ratios
Ratios express the relationship between two numbers and can be used in two ways: to compare the past and present performance of the company itself
Subject: ratio
Transcript: AS AN INVESTOR, AN INDIVIDUAL WOULD LOOK AT RATIOS OF A PARTICULAR COMPANY AND HELP MAKE A DETERMINATION WHETHER THEY WANTED TO INVEST IN THAT
Sales and Property Taxes
The concept of taxation; why taxes are paid, various kinds of taxes and what we get in return for our tax dollars.
Subject: ratio
Approximate Square Roots
Finding the approximate square root for numbers that are not perfect squares is demonstrated. Irrational numbers are explained.
Subject: ratio
Transcript: ITSELF. NUMBERS LIKE THIS ARE CALLED IRRATIONAL NUMBERS BECAUSE THEY CAN'T BE WRITTEN AS RATIOS OR FRACTIONS. TO WRITE THE APPROXIMATE SQUARE ROOTS OF