University:
High School
Course:
High School Mathematics
Academic year:

2022
Views:

183

Pages:

4
Author:

Bruno Cain

Linear Functions Modeling with Linear Functions A. VOCABULARY & CONCEPTS Slope: Describes the steepness of a linear function. m = (y_{2} - y_{1})/(x_{2} - x_{1}) = RISE RUN Slope-Intercept Form: y = mx + b Where M = s * 10pe and B=y-intercept 8. WRITING EQUATIONS OF LINEAR FUNCTIONS In Exercises 1-3, use the graph to write an equation of the line and interpret the slope. 1. Cell Phone Costs m= rise run = 1/10 or m = (51 - 50)/(10 + 0) = 1/10 52 50 Cost (dollars) 10 20 (0, 50) (10,51) Number of text messages sent b = 50 y = 1/10 * x + 50 Interpret slope or y = 0.1x + 50 10 cents Every 10 text messages costs $1. or 10 cents per text message m= Delta*y Delta x leftarrow* phi f messages Travel Distance 320 (0, 360) 240 160 80 Distance (miles) 2 4 (6.0) 2 Time (hours) m = - 360/6 = - 60/1 b = 360 Interpret slope m=Aydistance Ax hours y = - 60x + 360 The travel distance decreases by bo miles for every hour traveled. Math Homework Grade 120 (20,95) 80 (10, 85) ? 10 20 30 Completed assignments Table X 710 85 20 195 4. The cost of parking in a parking garage in Chicago is represented by the equation y = 15x + 20 where y is the total cost (in dollars) and x is the time (in hours). The table shows the total cost to park in a parking garage in Denver. Which city's parking garage charges more per hour and by how much more? After how many hours would parking in both cities cost the same? 11 Hours, x 2 1 3 4 5 Cost, y 43 51 59 67 888 m == $18 per hour work backwards 012345 27 35 43 51 59 67 m = (95 - 85)/(20 - 10) = 10/10 = 1/1 y= 1x + b 85 = 1(10) + b 85 = 10 + b -10 -10 75= b Homework grade (percent) The math homework grade increases 1% for Every one completed assignment. To find b: plug in (x, y) y = x + 75 CHICAGO y = 15x + 20 $15 per hour Y 20/35/50/5 1 20 35 50 65 Chicago charges more per hour by $7. After I hour parking in both cities costs the Same