Algebra 1 Name: Date: Class#: Analyzing Linear Graphs Application Practice 1) The equation y = 5x + 50 represents your elevation y in feet for each minute x you hike from a trailhead. b) Graph the equation of the line to model the c) What does the slope mean in the context of d) Are you hiking up or down the mountain? f) What does the x-intercept mean in the context of g) Is this situation discrete or continuous? Explain. Be sure the graph reflects your decision. h) In the given problem, what does the point (2, 40) i) According to this model, what elevation are you at after 8 minutes? j) According to this model, how long have you been walking if you are at 20 ft? k) What is the domain? What is the range?
2) The equation y = 30 2x models the number of pages y you have left to read after reading for x minutes. b) Write the given equation in slope-intercept form. f) What does the x-intercept mean in the context of g) Is this situation discrete or continuous? Explain. Be sure the graph reflects your decision. h) In the given problem, what does the point (5, 20) i) According to this model, how many pages do you have left after you ve been reading for 10 minutes? j) According to this model, how long have you been reading if you have 24 pages left? k) What is the domain? What is the range?
3) The equation 7x + 3y = 42 models the way you can score 42 points in a football game. For every field goal y you score 3 points and for every touchdown x you score 7 points. b) Write the given equation in slope-intercept form. f) What does the x-intercept mean in the context of g) Is this situation discrete or continuous? Explain. Be sure the graph reflects your decision. h) In the given problem, what does the point (2, 3) i) According to this model, how long have you been roller-skating if your cost is $18? j) According to this model, how much would you pay if you roller-skated for 3 hours? k) What is the domain? What is the range?
4) The Frenchtown roller rink charges $2 for roller skates in addition to a $4 hourly charge. b) What is the equation of the line that represents the total cost of skating? f) In the given problem, what does the point (2, 10) g) According to this model, how long have you been roller-skating if your cost is $18? h) According to this model, how much would you pay if you roller-skated for 3 hours? i) You have a curfew and your parents want you home by 8:30PM. It is 12:00 PM now. What is the domain? What is the range?
5) A sunflower starts at 4 inches and grows 0.75 (or ¾) inches every month. b) What is the equation of the line that represents the sunflower s growth rate? f) In the given problem, what does the point (4, 7) g) According to this model, how long has the sunflower been growing if it is 13 inches? h) According to this model, what is the height of the sunflower that has been growing for 9 months? i) Sunflowers have a maximum life of 2 years. What is the domain? What is the range?
6) Monroe s gym charges $2 per visit to the gym instead of a monthly membership fee. b) What is the equation of the line that represents the amount of money you pay to the gym? f) What does the x-intercept mean in the context of g) In the given problem, what does the point (3, 6) h) According to this model, how much money have you paid to the gym if you have gone to 4 classes? i) According to this model, how many classes have you gone to if you have paid $14? j) You have a maximum budget of $50. What is the domain? What is the rang
7) Luc s Limo Service charges a $15 boarding rate, no matter what the mileage is on the meter. b) What is the equation of the line that represents the amount of money you pay to Luc s Limo Service? f) In the given problem, what does the point (2, 15) g) According to this model, how much money have you paid to Luc s Limo Service if you went 9 miles? h) According to this model, how far have you using Luc s Limo Service if you have paid $15? i) What is the domain? What is the range?