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Let
x-------> the number of game tokens purchased for a member of the arcade
y-------> the function of the yearly cost in dollars
we know that
the function y of the yearly cost in dollars is equal to
This is the equation of the line
using a graph tool
see the attached figure
<u>Statements</u>
<u>case a)</u> The slope of the function is $1.00
The statement is False
The slope of the function is equal to
<u>case b)</u> The y-intercept of the function is $60
The statement is True
we know that
The y-intercept of the function is the value of the function when the value of x is equal to zero
so
for
<u>case c)</u> The function can be represented by the equation y =(1/10)x + 60
The statement is True
The equation of the function is equal to
<u>case d)</u> The domain is all real numbers
The statement is False
The value of x cannot be negative, therefore the domain is the interval
[0,∞)
<u>case e)</u> The range is {y| y ≥ 60}
The statement is True
The range of the function is the interval-------> [60,∞)
see the attached figure
Let's assume
x represents the number of $25 tickets
y represents the number of $50 tickets
A total of 1,250 tickets
so, we get
So, cost of $25 tickets is 25x
So, cost of $50 tickets is 50y
Total cost of tickets =(cost of $25 tickets)+(cost of $50 tickets)
Total cost of tickets =25x+50y
we are given
worth $50,000, were sold
so, we get equation as
we get system of equations as
..............Answer