L-3.2: Slope Intercept #1 L-3.3: Slope Intercept #2 L-3.4: Homework

Answers for pg: 67 -68 1a. At home b. 2:00 pm c. 1:30 pm and 2:30 pm d. 4:30 pm e. resting (as long as it’s waiting in the same spot) 2. a. 35 ft b. ~5min and ~14 min c. 0-2 min & 4-8 min d. Did not climb as fast (slower rate = flatter slope) e. not climbing 3. a. 2min b. 35 mph c. 1.5 min & 2.5 min d. 4.5 min e. yes, 0.5 min – 1 min f. 0 – 0.5 min and 1 – 2 min

Answers for pg: 68-69 4. a. 25 ft b. 1 sec c. 45 ft. D. No, on the ground e. ~0.5 sec and 1.5 sec f. ~2 sec 5. a. $20,000 b. $2,500 c. lost $12,500 = 15,000-2500 d. 2006, the income earned is greater than the expenses e. *vary* ~30,000 – 5,000 = $25,000 6. a. $0.46 b. $0.86 c. $0.86 d. 1≤𝑤𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑙𝑒𝑡𝑡𝑒𝑟≤2

Answers for pg: 71-72 a. $0.06 b. 96 oz. C. As the size of the container increases the cost per ounce decreases d. Same, both are $2.88 2. a. $2500 b. $10,000 c. 4 years d. 8 years e. Irrelevant or not enough information 3. a. $100 b. Gym B because it’s cheaper c. Gym A because it’s cheaper d. 8 months e. Gym B because it has a steeper slope

Answers for pg: 72-73 4. a. $50,000 b. $1500 c. $90,000 d. Maximum is about $3500 5. a. Jenny because her graph is above Brooke’s b. Brooke c. ~40 seconds because the lines intersect d. Jenny because her graph is higher than Brooke’s which means she’s running faster than Brooke

Answers for pg: 77 Leilani because her y-intercept is the smalles (distance from home) Leilani because her distance is flat (not decreasing) but everyone else’s graph starts to decrease right away 3. Tiare because her graph doesn’t have an x-intercept 4. Hoku because there is a period of time in the middle of her graph where the graph is flat 5. Kawika because his graph intersects with the x-axis before everyone 6. Kiani started to walk to the bust stop, realized she forgot something, went back home to get it, and ran from her house to the bust stop so that she wouldn’t miss the bus 7. Keoni’s graph is a curve 8. SHARE WITH YOUR TABLE

Answers for pg: 79 9. a. 90ft b. 20 ft. c. ~10 ft. d. ~1.4 seconds

Essential Question: What is slope? How is it used? I CAN: Identify functions given in a table Find missing values of a linear function when given the slope Translate between function notation and contextual meaning • Recognize the slope ratio as 𝑓 𝑏 −𝑓 𝑎 𝑏−𝑎

Key Vocabulary Linear function: functions that exhibit the property that equal changes in input yield equal changes in output You add or subtract to get to the next output Increasing: positive slope Decreasing: negative slope Magnitude of slope: The larger the magnitude, the steeper the line (closer to being vertical)

What doesn’t belong? Why?

Using Slope Do you remember that 𝑚= ∆𝑦 ∆𝑥 ?????? We can rearrange the formula to look like: 𝑚 ∙∆𝑥= ∆𝑦 EXAMPLE: p(x) is a linear function with a slope of 7. If p(1)=2, then what is the value of p(5)? 𝑚 ∙∆𝑥= ∆𝑦 7∙ 5−1 =∆𝑦 7∙4=∆𝑦 28=∆𝑦 If the change in y is 28, then p(5) is 28 more than p(1) so 2+28=30

Using Slope 𝑚 ∙∆𝑥= ∆𝑦 PRACTICE WITH YOUR GROUP: l(x) is a linear function with a slope m=-3. If l(-2)=4, then what is the value of l(4) 2. j(x) is a linear function with a slope 𝑚= 1 2 . If j(0)=2, then what is the value of j(10)

Using Slope 𝑚 ∙∆𝑥= ∆𝑦 PRACTICE WITH YOUR GROUP: l(x) is a linear function with a slope m=-3. If l(-2)=4, then what is the value of l(4) ∆𝑦=−3∙ 4−−2 =−3∙6=−18 4+ −18 =14 𝑙 4 =14 How could you check to see if your answer is right?

Using Slope 𝑚 ∙∆𝑥= ∆𝑦 PRACTICE WITH YOUR GROUP: 2. j(x) is a linear function with a slope 𝑚= 1 2 . If j(0)=2, then what is the value of j(10) ∆𝑦= 1 2 ∙ 10−0 = 1 2 ∙10=5 2+5=7 𝑗 10 =7 How could you check to see if your answer is right?

Increasing or Decreasing Slope The number of assignments given as the year goes on The amount of candy in a jar as the jar gets passed around in class The amount of patience Kaji has when Big Girl hits Darin A weight of a pregnant woman over the 40 weeks of pregnancy