^ 42. Think About a Plan Each m orning, a deli w orker h as to m ake several pies an d peel
a bucket of potatoes. On M onday, it took th e w orker 2 h to m ake th e pies an d an
average of 1.5 m in to peel each potato. On Tuesday, th e w orker finished th e w ork in
th e sam e a m o u n t of time, b u t it took 2.5 h to m ake th e pies a n d a n average of 1 m in
to peel each potato. A bout how m any po tato es are in a bucket?
- W hat quantities do you know an d how are they related to each other?
- How can you use th e know n a n d u nknow n quantities to w rite an eq u a tio n for
this situation?
- Error Analysis D escribe an d correct th e error in finding the
solution of th e equ atio n 2x = 6 x. - Skiing A skier is trying to decide w h e th e r or n o t to buy a
season ski pass. A daily pass costs $67. A season ski pass
costs $350. The skier w ould have to re n t skis w ith eith er pass
for $25 p e r day. How m any days w ould th e skier have to go
skiing in order to m ake th e seaso n pass less expensive th a n
daily passes? - Health Clubs One h ea lth club charges a $50 sign-up fee an d $65 p e r m onth.
A nother club charges a $90 sign-up fee an d $45 p er m onth. For w h at n u m b e r of
m o n th s is th e cost of th e clubs equal? - Geometry The perim eters of th e triangles show n are equal. Find th e side lengths of
each triangle.
B
Q
2x// \2xA 2x C P 3x + 1 R- Business A sm all juice com pany sp en d s $1200 p er day o n business expenses plus
$1.10 p er bottle of juice they m ake. They charge $2.50 for each bottle of juice they
produce. How m any bottles of juice m u st th e com pany sell in one day in order to
equal its daily costs? - Spreadsheet You set up a sp re ad sh eet to solve
7(x + 1) = 3(x - 1).
a. Does your sp re ad sh eet show th e solution of the
equation?
b. B etw een w hich two values of x is th e solution of
th e equation? How do you know?
c. For what spreadsheet values of x is 7(x + 1) less
th a n 3(x - 1)?
A BC1 X 7(x + 1) 3(x - 1)
2 -5 -28 -18
3 -3 -14 -12
4 -1 0 -6
5 1 14 06 3 28 6c
PowerAlgebra.com [ Lesso n 2-4 Solving Eq u at io n s W it h Variab les on Bot h Sides^107