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Section 2.6 Write Ratios and Proportions

A backpacker in the Sierras hikes 5.5 miles in 2 hours. If the hiking rate remains the same, how far will the backpacker hike in 7 hours?

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Page 1: A backpacker in the Sierras hikes 5.5 miles in 2 hours. If the hiking rate remains the same, how far will the backpacker hike in 7 hours?

Section 2.6Write Ratios and

Proportions

Page 2: A backpacker in the Sierras hikes 5.5 miles in 2 hours. If the hiking rate remains the same, how far will the backpacker hike in 7 hours?

A backpacker in the Sierras hikes 5.5 miles in 2 hours. If the hiking rate remains the same, how far will the backpacker hike in 7 hours?

Example 1

Page 3: A backpacker in the Sierras hikes 5.5 miles in 2 hours. If the hiking rate remains the same, how far will the backpacker hike in 7 hours?

Uses division to compare two quantities. Can write the ratio of two quantities a and b in three ways:

Ratios

Page 4: A backpacker in the Sierras hikes 5.5 miles in 2 hours. If the hiking rate remains the same, how far will the backpacker hike in 7 hours?

At a carwash fundraiser, 18 ninth grade students and 14 tenth grade students worked the first shift

A. Find the ratio of ninth grade students to tenth grade students.

B. Find the ratio of ninth grade students to all students.

Example 2

Page 5: A backpacker in the Sierras hikes 5.5 miles in 2 hours. If the hiking rate remains the same, how far will the backpacker hike in 7 hours?

Equation that states two ratios are equivalent

Proportions

a c

b d

What must be true though??

Page 6: A backpacker in the Sierras hikes 5.5 miles in 2 hours. If the hiking rate remains the same, how far will the backpacker hike in 7 hours?

A.

B. 12 is to 18 as d is to 27.

Example 3Solve the following:4

35 7

w

Page 7: A backpacker in the Sierras hikes 5.5 miles in 2 hours. If the hiking rate remains the same, how far will the backpacker hike in 7 hours?

HW #16 Ratio and Proportion Worksheet

Weekend Fun

Page 8: A backpacker in the Sierras hikes 5.5 miles in 2 hours. If the hiking rate remains the same, how far will the backpacker hike in 7 hours?

Example 4Solve the proportion

5 4

13 39

k