Solve the application problem. Express your answer as a positive or negative number accordingly. 89) A college’s enrollment decreased by 876 students over the past 6 years. What was the average change in enrollment each year? 90) A cable television company estimates it will lose 54 customers every week to a satellite television service. Find the change in the number of customers over a 1-year period. 91) The tuition at a community college is $112 per unit. How much will Nascha pay if she enrolls for 12 units? 92) Tarun ate a package of 8 chocolate chip cookies having 26 calories per cookie. How many calories did he eat? 93) A deep-diving submersible can take up to 2 hours to dive to 6000 m. If it takes exactly 2 hours to dive 6000 m, what is the average change in depth every minute? (http://oceanexplorer.noaa.gov) 94) A department store fi nds that it loses $4380 of profi t every year due to shoplifting. Find the average change in profi t per month due to shoplifting. 95) A high-protein diet promises that a person will lose 3 lb per week. If a husband and wife go on the diet together, fi nd their combined total change in weight over a 4-week period. 96) Karl is downloading a high-defi nition movie fi le to his computer at a rate of 4 megabits per second. If the fi le size is 12,240 megabits, how many minutes will it take for Karl to download the entire fi le? Mixed Exercises: Objectives 1–4 Perform the indicated operations. 97) 2.8 7 98) 320 4 99) a 2 7 b a 8 21 b 100) 1.05(2.84) 101) 3 4 (24) 102) 7 6 2 15 Simplify using the order of operations. That is, perform multiplication and division from left to right. 103) 5 3 (2) (1) 104) (12) 1 4 (6) 105) 24 (3) (2) (2) (1) 106) 72 (8) (5) (5) (3) 107) 3 5 20 7 5 6 108) 5 6 7 12 a5 8 b 109) 7 08 0 0 4 0 (5) 110) 5 09 0 0 3 0 (2) R1) Demonstrate the equation 3 5 15 on a number line. R2) Why does this make sense? R3) Write four statements that outline the procedure for Multiplying and Dividing Signed Numbers using the terms multiplicand, multiplier, and product; dividend, divisor, and quotient. www.mhhe.com/messersmith SECTION 10.4 Multiplying and Dividing Signed Numbers 747
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