Use intercepts to graph 3y = -5x -30
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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
