proportions section 1.6 we will use proportions to analyze proportional relationships and to solve...
TRANSCRIPT
PROPORTIONS
Section 1.6We will use proportions to analyze proportional
relationships and to solve
real-life problems.
WHAT THE HECK IS A PROPORTION?
WHAT IS A PROPORTION USED FOR?
To find an ______ value in one ratio when given another ______ ratio.
HOW DO WE SOLVE A PROPORTION?
We find the ________, where we multiply the numerator of one ratio with the
denominator of the other ratio.
*Step 1: Find the cross products
*Step 2: Compare the cross products
2 = 103 15
LET’S PRACTICE DETERMINING IF TWO RATIOS ARE PROPORTIONAL
30 30
YES!
*Step 1: Find the cross products
*Step 2: Compare the cross products
15 = 912 6
LET’S PRACTICE DETERMINING IF TWO RATIOS ARE PROPORTIONAL
NO!
Is the following ratio proportional?
4 = 165 20
WHITE BOARD TIME!!
Is the following ratio proportional?
6 = 1810 30
WHITE BOARD TIME!!
Is the following ratio proportional?
1 = 48 24
WHITE BOARD TIME!!
24 32
Try on your Own
1. The ratio of 7th grade students to 8th grade students in a soccer league is 17:23. If there are 200 students in all, how many are in the 7th grade?
Try on your Own
2. After 2 hours, the air temperature had risen 8 degrees. Write and solve a proportion to find the amount of time it will take at this rate for the temperature to rise and additional 13 degrees.
Use Unit RateYou can also use the unit rate to write an equation
expressing the relationship between two proportional quantities.
Example: Olivia bought 6 containers of yogurt for $7.68. Write an equation relating the cost c to the number of yogurts y. How much would Olivia pay for 10 yogurts at this same rate?
Practice
Solve each proportion:
1. k = 32 7 56
2. 3.2 = n 9 36
3.Evarado paid $1.12 for a dozen eggs at his local grocery store. Determine the cost of 3 eggs.
Essential Question
How do you solve a proportion?
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