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nya4657
07.06.2020 •
Mathematics
A sports club charges an initiation fee and a monthly fee. At the end of the 5 months, a member had paid a total of $450. At the end of the 10 months, she had paid a total of $500.
a) Write a linear system to model the situation
b) Solve the linear system by substitution to solve the related problem: What are the initiation fee and the monthly fee?
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Ответ:
Initiation fee is $400 while monthly fee is $10
Step-by-step explanation:
Let the initial fee be x which is fixed while the monthly fee be y
At the end of 5 months, 450 was paid
This means that;
x + 5y = 450 ••••••••(i)
At the end of 10 months, $500 was paid
Mathematically, this means that;
x + 10y = 500•••••••••••(ii)
now we solve both equations simultaneously to get the value of x and y
our equation ii can be rewritten as;
x + 5y + 5y = 500
we can now insert equation i directly into this
450 + 5y = 500
5y = 500-450
5y = 50
y = 50/5
y = $10
From x + 5y = 450
let’s insert the calculated value of y
x + 5(10) = 450
x + 50 = 450
x = 450-50
x = $400
Ответ: