University:
Glendale Community College
Course:
MAT120 | Intermediate Algebra
Academic year:

2020
Views:

347

Pages:

8
Author:

brnknoutel

Section 3.2B Average Rate of change and applications of slope 1) Use the graph of 𝑓(𝑥) to find the average rate of change from 𝑥 = 2 𝑡𝑜 𝑥 = 4 3) Use the graph of 𝑓(𝑥) to find the average rate of change from 𝑥 = 0 𝑡𝑜 𝑥 = 2 5) Find the average rate of change in the cost of a typical Thanksgiving dinner between 1990 and 2010. Interpret your answer. Year 1950 1960 1970 1980 1990 2000 2010 2018 Cost of 6.00 average Thanksgiving Dinner (in dollars) 6.75 8.35 19.40 28.90 32.35 43.50 48.90 7) The table show the minimum wage in Illinois. Find the average rate of change in the Illinois minimum wage between January 1, 2021 and January 1, 2025. Interpret your answer. 9) Find the average rate of change of 𝑓(𝑥) = 𝑥 2 + 3𝑥 − 4 𝑜𝑣𝑒𝑟 𝑡ℎ𝑒 𝑖𝑛𝑡𝑒𝑟𝑣𝑎𝑙 [−3, −1] 11) Find the average rate of change of 𝑓(𝑥) = 𝑥+2 𝑥−3 𝑜𝑣𝑒𝑟 𝑡ℎ𝑒 𝑖𝑛𝑡𝑒𝑟𝑣𝑎𝑙 [5,9] 13) A family has started baking and selling cookies. It costs $400 to make 2000 cookies. It will cost $600 to make 3000 cookies. a) Create two points in the form (number cookies, cost) b) Find the slope of the line that connects the two points c) Interpret the meaning of the slope 15) Brent’s tire has a slow constant leak. The tire lost 2 pounds of air 20 minutes after it was filled. The total amount of air lost after 120 minutes is 6 pounds. a) Create two points in the form (time in minutes, amount of air lost) b) Find the slope of the line that connects the two points c) Interpret the meaning of the slope 17) A city's population is declining at a constant rate. In the year 𝑥 = 1980 was 𝑦 = 4,000,000. In 1990 the population was 3,900,000. a) Create two points in the form (year, population) b) Find the slope of the line that connects the two points c) Interpret the meaning of the slope 19) A salesperson earns a weekly salary of $1,000. In addition, the salesperson receives a $100 bonus for every extended warranty she sells. The equation: P= 100W + 1000 can be used to calculate the salesperson’s totally weekly pay. Where P = total weekly pay and W = number of extended warranties sold in a week. a) Find the slope of the given line. b) Give a physical interpretation of the meaning of the slope of this line. c) Find the “y-intercept” of this line. (It would be better to call this the Pintercept as the variable P is working like a y in this problem. d) Give a physical interpretation of the meaning of the “y-intercept” of this line. e) Evaluate the equation at W = 15, and create the point implied by the algebra. f) Interpret the meaning of the point created in part e.