Algebra Demystified 2nd Ed
286 algebra De mystif ieD We begin with two cars/cyclists/runners, etc. moving in the same direction. The rate at which the dist ...
Chapter 8 linear appliCaTionS 287 Let t represent the number of hours the second car has traveled after pass- ing the intersecti ...
288 algebra De mystif ieD The truck traveled (^50) ()^4560 = ^752 miles. The motorcyclist is catching up to the truck at a ra ...
Chapter 8 linear appliCaTionS 289 Katy left her house on bicycle heading north at 8 mph. At the same time, her sister Molly head ...
290 algebra De mystif ieD The distance between the girls is increasing at the rate of 4 + 6 = 10 mph. Let t represent the numbe ...
Chapter 8 linear appliCaTionS 291 A jet leaves Dallas going to Houston, averaging at 400 mph. At the same time, another jet leav ...
292 algebra De mystif ieD The distance between the cars is decreasing at the rate of 65 + 55 = 120 mph. Let t represent the num ...
Chapter 8 linear appliCaTionS 293 Let t represent the number of hours after the second car has passed the intersection. 65 13 13 ...
294 algebra De mystif ieD begins to walk, they are moving toward one another at the rate of 2 + 1.5 = 3.5 meters per second. Let ...
Chapter 8 linear appliCaTionS 295 ✔SOLUTIONS The first jogger had jogged (^7) () 608 = ^56601415 miles when the other jog-= ...
296 algebra De mystif ieD (^2201) hours, or 2 hours 3 minutes 60 1 ()⋅ 20 = ^3 , after the Hewitts leave Dallas, the Smiths and ...
Chapter 8 linear appliCaTionS 297 50 45 45 4 45 45 5 45 4 1 5 45 4 9 4 tt tt t t t =+ −− = =⋅ = We now know the time, but the pr ...
298 algebra De mystif ieD PRACTICE Terry, a marathon runner, ran from her house to the high school then back. The return trip t ...
Chapter 8 linear appliCaTionS 299 home to work is given by d = 30t, and the distance from work to home is given by dt = (^45) ...
300 algebra De mystif ieD In the above examples and practice problems, we substituted the number for t in the first distance equ ...
Chapter 8 linear appliCaTionS 301 PRACTICE A box’s width is two-thirds its length. The perimeter of the box is 40 inches. What ...
302 algebra De mystif ieD EXAMPLE A rectangle is twice as long as it is wide. If the length is decreased by 4 inches and its wid ...
Chapter 8 linear appliCaTionS 303 So we now have the equation, with one unknown: (l + 3)^2 = l^2 + 33. () ()() ( ll ll l ll ll + ...
304 algebra De mystif ieD width. The area of the cardboard is 72 square inches smaller than before it was trimmed. What was its ...
Chapter 8 linear appliCaTionS 305 Since the original length is 121 = 23 of the original width, lw=^32. Replace each l by^32 w. ...
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