3.5 Writing Ratios & Proportion

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Presentation transcript:

3.5 Writing Ratios & Proportion mi/gal ??

A RATIO is a quotient that compare 2 quantities. 3 4 3 : 4 3 to 4

A Proportion is an equation of two equal ratios.

The numerators have the same units (miles). The denominators have the same units (gallons).

Proportion is true if fractions are equal when in lowest terms. all reduce to 1/2 3 4 5 6 8 10 = = Proportion is true if fractions are equal when in lowest terms.

Each of the numbers in the proportion is a term Each of the numbers in the proportion is a term. They are numbered as follows.

The 1st and 4h terms are the Extremes. The 2nd and 3rd terms are the Means.

The product of the means equals the product of the extremes. Cross products are equal. 2 • 12 = 3 • 8 24 = 24

To Solve Proportions Find n 9 n = (3) (6) 9 n = 18 n = 2

use labels A car travels 60 mi / hr. How far can it travel in 7 hrs.? 60 mi = n mi 1 hr 7 hrs.

60 mi = n mi 1 hr 7 hrs. ( 60 ) ( 7 ) = 1 n 420 mi. = n

Capture Recapture Method Allows biologists to find the number of animals or fish in an area by estimating.

In a lake, researchers caught, marked and released 213 bass. Later, they took a sample of 104 bass 13 were marked. Estimate the total number of bass.

13 213 = sample 104 x Marked sample Marked in lake = Total in sample Total in lake = 13 104 213 x = Lake sample

13 104 213 x = 13 x = ( 213) (104) 13 x = 22,152 x = 1704 Approx. 1704 bass in the lake

The desire to succeed means nothing without the will to prepare! thought for the day The desire to succeed means nothing without the will to prepare!