Freight car loadings over a 18-week period at a busy port are as follows: Week Number Week Number Week Number 1 220 7 350 13 460 2 245 8 360 14 475 3 280 9 400 15 500 4 275 10 380 16 510 5 300 11 420 17 525 6 310 12 450 18 541 (a) Determine a linear trend line for the freight car loadings.(b) Use the trend equation to forecast freight car loadings for weeks 20 and 21. (c) The manager intends to install new equipment when the volume exceeds 800 loadings per week. Assuming the current trend continues, the loading volume will reach that level in approximately which week?

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.