WGU C957 Unit 3 Module 3 Quiz with Certified Solutions

WGU C957 Unit 3 Module 3 Quiz with Certified Solutions The population of a small town is shown in the following table: Year Population 2000 7,400 2002 8,300 2005 9,000 What was the average rate of change between the years 2000 and 2005, and what is an accurate interpretation of the change? A) The average rate of change was 450 people per year. The mayor can anticipate seeing about 450 people a year moving into the town, based on this data. B) The average rate of change was -320 people per year. The mayor can anticipate seeing about 320 people a year moving away from the town, based on this data. C) The average rate of change was 320 people per year. The mayor can anticipate seeing about 320 people a year moving into the town, based on this data. D) The average rate of change was -500 people per year. The mayor can anticipate seeing about 500 people a year moving away from the town, based on this data. The average rate of change was 320 people per year. The mayor can anticipate seeing about 320 people a year moving into the town, based on this data. The price of electricity per kilowatt hour (kWh) in a certain city is recorded in the following table: Years Cost per kWh 2000 $0.08 2005 $0.15 2010 $0.10 What is the average rate of change in electricity price from 2005 to 2010? What does that mean? A) The average rate of change is $0.002 per kWh per year. It implies that the electricity price has been increasing at $0.002 per kWh every year from 2005 to 2010. B) The average rate of change is −$0.005 per kWh per year. It implies that the electricity price has been decreasing at $0.005 per kWh every year from 2000 to 2010. C) The average rate of change is −$0.01 per kWh per year. It implies that the electricity price has been decreasing at $0.01 per kWh every year from 2005 to 2010. D) The average rate of change is $0.01 per kWh per year. It implies that the electricity price has been increasing at $0.01 per kWh every year from 2005 to 2010. The average rate of change is −$0.01 per kWh per year. It implies that the electricity price has been decreasing at $0.01 per kWh every year from 2005 to 2010. The function f(t) models the percent of population who use the Internet, where t is the number of years since 1995. During a certain year, the rate of internet usage grew to approximately one-third of the world population. Years Since 1995 Percent of Worldwide Population 0 0.8 5 6.8 10 15.8 15 28.9 20 43.2 In about what year did the rate of internet usage grow to approximately one-third of the world population, and what coordinate pair might represent that year? A) It appears that a third of the world's population was using the internet by 2020, represented by (25, 33.3). B) It appears that a third of the world's population was using the internet by 2007, represented by (12, 33.3). C) It appears that a third of the world's population was using the internet by 2012, represented by (12, 33.3). D) It appears that a third of the world's population was using the internet by 2012, represented by (17, 33.3). It appears that a third of the world's population was using the internet by 2012, represented by (17, 33.3). A doctor has been reporting cases of the flu this season for her practice and reporting her data to the city's health department. The data is depicted in the following table: Month Number of People Infected 10 16 11 22 12 30 An analyst in the health department determines the average rate of change between months 10 and 12 to be 7. What does this mean? A) Approximately 7 people have been infected. B) Approximately 7 times more people have been infected this year, compared to the previous year C) Approximately 7 more people per month have been infected. D) Approximately 7 months have passed. Approximately 7 more people per month have been infected. The following table shows the distances George and his family are reaching, traveling at approximately 53 miles per hour. Time (in Hours) Distance (in Miles) 1 53 5 265 What is a reasonable expectation for the distance they will have traveled after 8 hours? A) 440 miles B) 284 miles C) 424 miles D) 432 miles 424 miles Philippa is calculating the net profit for fleet sales at her car dealership using the following table table. Numbers of Cars Sold Net Profit 3 $5,000 5 $8,000 Clearly, the more cars she sells in her fleet program at one time, the more money she makes, but the less she makes per car. The average rate of increase in profit between 3 cars and 5 cars is $1,500 per car. Based on this data, what prediction can Philippa make about the sale of 8 cars in a single fleet transaction? A) The sale of 8 cars would create a profit of approximately $16,000. B) The sale of 8 cars would create a profit of approximately $12,500. C) The sale of 8 cars would create a profit of approximately $13,000. D) The sale of 8 cars would create a profit of approximately $12,000. The sale of 8 cars would create a profit of approximately $12,500. George is taking his family on a road trip and is tracking distances in the following table. Time (in hours) Distance (in miles) 1 62 3 178 5 284 George has calculated the average rate of change, in miles, between the third and fifth hours to be 53. What is an accurate interpretation of this? A) George has approximately 53 miles left in his trip. B) George was traveling approximately 53 miles per hour from the third to the fifth hour. C) George was approximately 53 miles into his trip. D) George was traveling approximately 53 miles per hour during the trip. George was traveling approximately 53 miles per hour from the third to the fifth hour. Kylie's annual salary is tracked from her first year in a new job in the following table. The average rate of change between years 1 and 3 is $1,500. Years of Employment Income 1 $40,000 3 $43,000 What is reasonable for Kylie to expect as her income in the fifth year, if this trend continues? A) $43,000 B) $46,000 C) $44,500 D) $45,500 $46,000 Blake is tracking the temperature in his house by the hour, and his data is depicted in the following table: Time Temperature (F) 7 a.m. 65 11 a.m. 70 5 p.m. 75 What is the average rate of change between 7:00 a.m. and 11:00 a.m.? A) -1 degree per hour B) 1 degree per hour C) -1.25 degrees per hour D) 1.25 degrees per hour 1.25 degrees per hour A child's height is tracked in the following table. Age in Years Height in Inches 5 42.5 7 47.7 10 54.5 What is an accurate interpretation of this information? A) Based on this data, the child grew approximately 2.4 inches per month from age 5 to 10. B) Based on this data, the child grew approximately 2.4 inches per year since birth. C) Based on this data, the child grew approximately 2.4 inches per year from age 5 to 10. D) Based on this data, the child will grow approximately 2.4 inches per year in the next 20 years. Based on this data, the child grew approximately 2.4 inches per year from age 5 to 10. True or False? A prediction based on the average rate of change is always a guarantee. False Tyrone sells renter's insurance in a city where a number of new apartment complexes have been opening recently. Weekly sales are tracked in the following table. Week Policy Sales During That Week 1 56 3 60 5 72 What was Tyrone's average rate of change in sales between weeks 1 and 5, and what is an accurate statement about the average rate of change? A) The average rate of change was −4, which is the approximate number of policies sold per week. B) The average rate of change was 4, which is the approximate number of policies sold per week. C) The average rate of change was 4 policies per week. It implies that Tyrone was selling, on average, 4 more policies per week from Week 1 to Week 5. D) The average rate of change was −4. It implies Tyrone was selling, on average, 4 fewer policies per week from Week 1 to Week 5. The average rate of change was 4 policies per week. It implies that Tyrone was selling, on average, 4 more policies per week from Week 1 to Week 5. William's weekly income in his new job is shown in the following table. The average rate of change in William's income between weeks 8 and 10 is $20 per week. Weeks Income 8 $550 10 $590 How much income can William expect to make in week 11, if the trend shown by this table continues? A) $570 B) $590 C) $630 D) $610 $610 Ashley is tracking her baby daughter's height in the following table: Age (in months) Height (in inches) 12 29 16 32 20 33 What is the average rate of change of Ashley's daughter's height between months 12 and 20, and what is an accurate interpretation of this information? A) The average rate of change is 0.25 inch per month, which means that Ashley can expect her daughter to grow approximately 0.25 inches per month. B) The average rate of change is 1 inch per month, which means that Ashley can expect her daughter to grow approximately 1 inch per month. C) The average rate of change is 0.5 inch per month, which means that Ashley can expect her daughter to grow approximately half an inch per month. D) The average rate of change is 1.25 inches per month, which means that Ashley can expect her daughter to grow approximately 1.25 inches per month. The average rate of change is 0.5 inch per month, which means that Ashley can expect her daughter to grow approximately half an inch per month.