Jake is comparing the prices of two laundry service companies. Company A charges $20 per load and an additional $8 as service charges. Company B charges $24 per load and an additional $4 as service charges.
Part A: Write equations to represent Company A's and Company B's total laundry charges for a certain number of loads. Define the variable used in the equations.
Part B: Which company would charge less for 5 loads of laundry? Justify your answer.
Part C: How much money is saved by using the services of Company A instead of Company B to clean 9 loads of laundry?
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OpenStudy (safyousuff97):
@TheSmartOne
TheSmartOne (thesmartone):
So do you know how to write an equation, yousuf?
OpenStudy (safyousuff97):
i'm not very good at writing equations but I will try
TheSmartOne (thesmartone):
So do you know what the constant could be for the equations?
OpenStudy (safyousuff97):
would it be 20 and 8
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TheSmartOne (thesmartone):
No, those numbers are for PER LOAD
The other two numbers are a one time fee for any amount of load
Do you understand? :)
OpenStudy (safyousuff97):
oh ok
OpenStudy (safyousuff97):
i'm still confused though
TheSmartOne (thesmartone):
So, for part a we can make two equations
Company A's equation is y = 20x + 8
Company B's equation is y = 24x + 4
Do you agree? :)
OpenStudy (safyousuff97):
yes
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TheSmartOne (thesmartone):
Now for part b, do you know what to do?
OpenStudy (safyousuff97):
i do the equation now right
TheSmartOne (thesmartone):
you plug in 5 into both equations and see which company has a smaller amount for y :)
TheSmartOne (thesmartone):
do it yourself, but post your work so I can make sure
I'll wait for you reply :)
OpenStudy (safyousuff97):
ok i will
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TheSmartOne (thesmartone):
:)
OpenStudy (safyousuff97):
im stuck on how place the 5 in the equation
OpenStudy (safyousuff97):
y=20x+8
5 -5 am i doing it wrong?
TheSmartOne (thesmartone):
yea
TheSmartOne (thesmartone):
you replace x with 5
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TheSmartOne (thesmartone):
so
y = 20(5) + 8
y = 100 + 8
y = ?
OpenStudy (safyousuff97):
ok i'm sorry but i'm really dumb and i have know idea what to do
but is y-=108
OpenStudy (safyousuff97):
y=108
TheSmartOne (thesmartone):
yes
TheSmartOne (thesmartone):
now do it for the other equation :)
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OpenStudy (safyousuff97):
ok
OpenStudy (safyousuff97):
is it 95
TheSmartOne (thesmartone):
how did you get that?
OpenStudy (safyousuff97):
by doing this
y=20(5)+8
5 -100
95
OpenStudy (anonymous):
do you still need help with this?
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OpenStudy (safyousuff97):
i don't know what to do, i'm very confused
OpenStudy (safyousuff97):
i don't know the steps for this problem
TheSmartOne (thesmartone):
try this
y = 24(5) + 4
solve for y :)
OpenStudy (safyousuff97):
is it 124
OpenStudy (anonymous):
hold on I will help you with all parts k?
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OpenStudy (safyousuff97):
ok thx
TheSmartOne (thesmartone):
why?
TheSmartOne (thesmartone):
when I'm already helping..
TheSmartOne (thesmartone):
and that's correct @safyousuff97
OpenStudy (safyousuff97):
ok thats for part a right
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TheSmartOne (thesmartone):
so which company is cheaper for 5 loads?
Company A charges 108 for 5 loads
Company B charges 124 for 5 loads
TheSmartOne (thesmartone):
this is for part b, we completed part a already :)
OpenStudy (safyousuff97):
company a
TheSmartOne (thesmartone):
correct
that's your answer for part b :)
OpenStudy (anonymous):
Company A
$20 per load
$8 service
Company B
$24 per load
$4 service
PART A:
Let l be the number of loads
Company A = 20l + 8
Company B = 24l + 4
PART B:
Company A = 20*5 + 8
= $108
Company B = 24*5 + 4
= $124
Company A charges less
PART C:
Company A = 20*9 + 8
= $188
Company B = 24*9 + 4
= $220
220 - 188 = 32
You save $32.
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TheSmartOne (thesmartone):
and now do what we did for part b for part c
but instead of using 5, use 9
TheSmartOne (thesmartone):
gee, you really took the learning out of the whole question @*Nikki*
OpenStudy (anonymous):
lol
OpenStudy (safyousuff97):
@*Nikki* thank you but
OpenStudy (safyousuff97):
I wanted you to explain how to do the problem
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OpenStudy (safyousuff97):
thank you anyway
OpenStudy (safyousuff97):
how do i give 2 medals
OpenStudy (anonymous):
thats not possible unless you undo one!! :D
TheSmartOne (thesmartone):
it is possible through a glitch, but that would be exploiting it :)
OpenStudy (safyousuff97):
oh ok i'm sorry @*Nikki* i'm won't be able to give a medal to you
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OpenStudy (anonymous):
well then next time u can!! =]
OpenStudy (safyousuff97):
ok ,thank you for your help :D
TheSmartOne (thesmartone):
lol
OpenStudy (safyousuff97):
thank you @TheSmartOne for explaining the question
TheSmartOne (thesmartone):
anytime :D
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