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
\(y =\frac{1}{10} x +60\)
This is the equation of the line
using a graph tool
see the attached figure
Statements
case a) The slope of the function is $1.00
The statement is False
The slope of the function is equal to @@MATH_TOKEN_1@@
case b) 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 \(x=0\)
\(y =\frac{1}{10}*0 +60\)
\(y =\$60\)
case c) 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 \(y =\frac{1}{10} x +60\)
case d) The domain is all real numbers
The statement is False
The value of x cannot be negative, therefore the domain is the interval
[0,∞)
case e) The range is {y| y ≥ 60}
The statement is True
The range of the function is the interval-------> [60,∞)
see the attached figure
