c) You must rent 5 movies from each company to have equal bills.
d) The dollar amount would be $168.95 when the bills are equal which can be determined by putting x=5 in both function.
Step-by-step explanation:
Given,
Yearly charges of Letter A = $129
Per movie rent = $7.99
Let,
x be the number of rental movies.
A(x) = Yearly charges + Per movie rent*Number of movies rented
A(x) = 129 + 7.99x
Yearly charges of YR = $144
Per movie rent = $4.99
Y(x) = 144+4.99x
c) Solve the system of equations to determine how many movies you must rent from each company to have equal bills.
For equal bills;
A(x) = Y(x)
[tex]129+7.99x=144+4.99x\\7.99x-4.99x=144-129\\3x=15[/tex]
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{15}{3}\\x=5[/tex]
You must rent 5 movies from each company to have equal bills.
d) What would be the dollar amount when the bills are equal? How did you get that answer?
We will use x=5 to check the dollar amount.
[tex]A(5)=129+7.99(5)\\A(5)=129+39.95\\A(5)=168.95[/tex]
[tex]Y(5) = 144+4.99(5)\\Y(5) = 144+24.95\\Y(5) = 168.95[/tex]
The dollar amount would be $168.95 when the bills are equal which can be determined by putting x=5 in both function.
Keywords: functions, addition
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