University:
Bradley University
Course:
MTH 109 | College Algebra
Academic year:

2023
Views:

475

Pages:

2
Author:

segolhandworked

Name: Key Table m = (y₂ - y₁) / (x₂ - x₁) Graph m = rise/run Equation y = mx + b Problems: Autumn had a math homework assignment each day last week. Each assignment had a different number of problems and took her a different amount of time to complete, as shown by the table below. Number of Problems (x₁) | Time to Complete (min) (y₁) 9 | 18 14 | 28 19 | 38 24 | 48 29 | 58 If Autumn spent the same amount of time on each problem, how long did it take her to complete one math problem? m = (y₂ - y₁) / (x₂ - x₁) = (28 - 18) / (14 - 9) = 10/5 = 2 min/problem The graph shows the altitude, a, of a plane, in feet, after t minutes. What is the rate of ascent of the airplane? 500 ft / 4 min = 125 ft/min Mr. Smith works for a construction company and receives a paycheck each week. His paycheck (p), in dollars, includes his base salary plus an additional amount for each hour (h) of overtime worked that week. The following equation represents this situation: P = (25.50)h + 680 What does the number 25.50 represent in the equation? The amount paid for each hour of overtime 4. Which statement describes the rate of change of the following function? f(x)=7x+4 A. The function has a constant rate of change, increasing for all x at a rate of 4. B. The function has a contant rate of change, increasing for all x at a rate of 7. OC. The function has a varying rate of change when x>4. D. The function has a varying rate of change when x > 7. 5. Michael got a job peeling potatoes. In the first three hours of his shift, he peeled 69 potatoes. How many potatoes can he peel in nine hours? hrs 3 = 9 3x = 621 pot. 69 X 3 3 207 6. In 1990 a locally-owned car company sold 2,731 cars. In 2002, the car sales rose to 4,185. What was the average rate of change for the total number of cars sold? Cars yoar 2.731-4,185 1990-2002 = -1454 -12 121 7. Sandra is making curtains. The table below shows the relationship between the number of curtains she makes and the length of fabric, in feet, she uses. Based on the relationship shown in the table, how many more feet of fabric does Sandra use for 10 curtains than for 2 curtains? Fabric Used for Curtains Number of Curtains 1 Length of Fabric (feet) 72 2 3 14 21 10 725 725-14 58 8. The cost, in dollars, of parking a car in a busy downtown area for h hours is $20 + $5h. Which statement is correct? A. For every hour the car is parked, the cost increases by $5. B. For every hour the car is parked, the cost increases by $25. C. For every hour the car is parked, the cost increases by $15. D. For every hour the car is parked, the cost increases by $20.