Math 1800 Exam 1 Answers Fall 011 Circle the LETTER of the correct answer for #1-. (7 pts)1. An eight inch candle burns at a rate of 1 in/min; a twelve inch candle burns at a rate of 1 in/min. Which candle burns down completely first? By how many minutes? Both candles burn down completely at the same time. (7 pts). From this equation, what is the slope and the y-intercept of the line? y x slope: y-intercept: (0, ) (7 pts). Calculate the product of these two binomials: x and x 0.5 x 0.5x 1 1
Math 1800 Exam 1 Answers Fall 011 (8 pts)4. As each of the following quantities increases, determine a related quantity that would also increase, and a quantity that would decrease. There are multiple possibilities. The number of people wanting to ride the roller coaster at the theme park: Outside temperature: Increasing quantity: length of time spent waiting to ride the ride Decreasing quantity: # of people riding other rides Increasing quantity: # of people wearing shorts Decreasing quantity: # of people wearing coats (7 pts)5. During trick-or-treating, Emma had 5 candy bars in her basket when she started to walk down Union Street. At each of the first five houses on Union Street she received 1 more candy bar. From each of the remaining houses on Union Street she received candy bars. How many houses did she visit on Union Street if she ended with a total of 8 candy bars? Draw a graph that represents this situation. Label the axes and include numbers. Title the graph. Number of houses: 11 This graph should be a series of dots showing a slope of 1 for the first five houses and a slope of for the remaining houses.
Math 1800 Exam 1 Answers Fall 011 (10 pts)6. The given graph shows the number of cups of blueberries picked by Alisha (A), Blake (B), and Caity (C). Picking Blueberries 4 Number of cups 0 16 1 A B C 8 4 0 60 Number of minutes How many minutes did Caity spend picking blueberries? 60 What is the slope for graph C? 1/ At the end of 75 minutes, Blake had picked 4 cups of blueberries. Write an equation for Blake s graph: C = 8/5 t Compare Alisha s speed of picking blueberries to Blake s speed. At first Alisha picked faster than Blake. After 0 minutes, Alisha slowed and her rate was less than Blake s. She stopped 7.5 minutes before Blake. Compare Blake s speed of picking blueberries to Caity s speed. Blake s speed is slightly slower than Caity s. Blake: 4 cups in 75 minutes. Caity: would equal 5 cups in 75 minutes
Math 1800 Exam 1 Answers Fall 011 (5 pts)7. Carefully draw a distance/time graph to represent this situation: A) Jake runs away from his house for 10 minutes. B) Jake stops for 0 minutes C) Jake walks farther from home for 0 minutes. D) Jake runs back home at the same speed as before until he reaches the house. Distance traveled Time (5 pts)8.using the situation described in #7, draw a speed/time graph for Jake. Use negative speeds, if appropriate. Be sure to line up the sections in this graph with graph #7. Speed Time 4
Math 1800 Exam 1 Answers Fall 011 (10 pts)9. Briefly describe Wile E. Coyote s journey as shown in this graph: E A) He left a friend s house and walked slowly going away from the location of the cave. B) He went at a faster pace back to the cave. Distance from cave A B D C) He stayed at the cave for a short while. D) He ran a long distance away from the cave. E) He stopped at the new location. Time Traveling to School C (10 pts)10. Line A represents Anna s trip to school. Line B represents Ben s trip to school. An equation for line A would be: Write an equation for line B. d d = ¾ t - Anna left home traveling at a rate of one half block per minute and arrived there in eighteen minutes. Write a sentence describing Ben s trip: Ben left home 4 minutes after Anna and arrived at school 1 minutes later. 1 t Distance from home in blocks 9 8 7 6 5 4 1 A B 4 6 8 10 1 14 16 18 0 Time in minutes How long did Ben travel before he passed Anna? 8 minutes Where did Ben pass Anna along the way? 6 blocks from home 5
Math 1800 Exam 1 Answers Fall 011 (10 pts)11. Suppose Turtle runs at 40 ft/s. Rabbit runs at 60 ft/s, but gives Turtle a 5-second head start. How many seconds will Rabbit run to catch up with Turtle? Write an equation to describe each relationship. Use d for distance and t for seconds. Rabbit: d = 60 t Turtle: d = 40 t + 00 Use algebra to solve the problem: Answer: 10 sec How many seconds will Turtle have run when Rabbit catches up with him? 15 sec Use quantitative reasoning to solve this problem. Make your explanation clear: Each second, rabbit gains 0 feet on turtle. Rabbit has 00 feet to make up. 00 / 0 = 10 (6 pts)1. Ramona drove 55 mph for hours, but when she reached the city she only traveled 44 miles in 1.5 hours. What was her average speed? Label the steps of your work so it is easy to follow. X 55 = 110 110 + 44 = 154 total miles.5 = total hours 154/.5 = 44 mph (8 pts)1. Write 4 five in expanded form using exponents. Answer: 44 mph 1 0 4 5 5 5 Give the suggested polynomial for 4 five (with x = 5). 4x x Use what you just wrote to determine the equivalent value in base ten of 4 five. 11 6