0 Error Analysis Describe and correct the error in each solution.
- 4>c+ 4 < -3v>^ 6 *Kp + 3 ) > 4p
4yX|y + (^2) 5p\3> 4p + 2
/y< - 2 \ 1
/
\ CLA 1 TâH
Ch al l en g e 55. Geo m et r y The base of a triangle is 12 in. Its h eight is (x + 6 ) in. Its area is no
m ore th a n 72 in.2. W hat are th e possible integer values of x?
- Part -Time Jobs You can ea rn m oney by tu to rin g for $8 p e r h o u r an d by walking
dogs for $7.50 p er hour. You have 15 h available to work. W hat is th e greatest
n u m b e r of h ours you can s p en d walking dogs a n d still m ake at least $115? - Freight Handling The elevator of a building can safely carry no m ore th a n 4000
lb. A w orker moves supplies in 50-lb boxes from th e loading dock to the fourth floor
of th e building. The w orker weighs 210 lb. The cart he uses weighs 95 lb.
a. W hat is th e greatest n u m b e r of boxes he can m ove in one trip?
b. The w orker n ee d s to deliver 275 boxes. How m any trips m u st he
make?
MP 2
Look back at th e inform ation on page 163 ab o u t th e athletic boosters'
concession stand. In p art (c) of th e Apply W hat You've L earned section in
Lesson 3-2, you listed possible com binations of packages of em pty boxes the
boosters can buy in order to have enough em pty boxes for th e next game.
a. C onsider th e possibility th a t th e athletic boosters b uy four packages of 75 em pty
boxes to augm ent th eir supply of 40 th a t they already have on h and. Let x be the
n u m b e r of boxes of p o p co rn th a t th e boosters sell at th e next gam e. W rite an
inequality th a t m odels th e boosters m aking a profit (th at is, w here n e t revenue
exceeds total costs).
b. Solve your inequality from p a rt (a). In terp ret your solution in term s of th e situation.192 Ch ap t er 3 So l v i n g I n e q u a l i t i e s