2. Lesson #15- Inequality Word Problems

3. Keys to Solving Geometric Problems Step 1: Read the problem. What is it asking? Highlight important information. Step 2: Draw and label a diagram. Step 3: Figure out what formulas are required and identify your unknowns. Step 5: Check your work & write a concluding statement. Step 4: Solve the problem showing all work.

4. pg 86 #13. The length of a rectangular field measures 15 m less than twice the width. If the perimeter measures at least 120 m, determine the minimum width of the field. 2w-15 P ≥ 120 2L + 2w 4w-30 + 2w + 30 +30 2w ≥ 150 w ≥ 120 2(2w-15) + 2w ≥ 120 6w - 30 ≥ 120 w ≥ 75 m 2 2 Step 1: Find w The minimum width of the field is 75 m. P =2L+2w

5. 15. In a class of at least 30 students, there are 4 more girls than boys. What is the minimum number of girls in the class? x-4: number of boys x 2x - 4 + 4 +4 2x ≥ 34 ≥ 30 + (x – 4) ≥ 30 x ≥ 17 m 2 2 x: number of girls The minimum number of girls in the class is 17. Step 1: Find the # of girls

6. 18. A taxi driver charges an initial fee of $1.25 and then $0.75 per km traveled. In what interval is the distance traveled if the cost of the trip is more than $11 but less than $14.? 1.25 -1.25 -1.25 0.75x ≥ 9.75 > 11 + 0.75x x > 13 km 0.75 0.75 x: distance travelled (km) 13 < x < 17 is the distance (km) for the trip to cost between $11 and $14. Step 1: Find x for $11 trip 1.25 -1.25 -1.25 0.75x < 12.75 + 0.75x x < 17 km 0.75 0.75 Step 2: Find x for $14 trip < 14

7. Homework pg. 86 # 14,16 &19