Step 1
Find the equation in function notation
Let
h-------> the number of hours
y-------> the function for the walker fee in dollars
we know that
the hourly rate is [tex]30\frac{\$}{hour}[/tex]
[tex]y=6+30h[/tex]
in this linear equation
the independent variable is the variable h
the dependent variable is the variable y
Convert to function notation
Let
[tex]f(h)=y[/tex]
[tex]f(h)=6+30h[/tex]
Step 2
Find how much does the dog walker charge for a 45 minute walk
Convert the time in hours
[tex]1\ hour=60\ minutes[/tex]
[tex]45\ minutes=45/60=0.75\ hours[/tex]
substitute in the equation
For [tex]h=0.75\ hours[/tex]
[tex]f(0.75)=6+30*(0.75)=\$28.5[/tex]
therefore
the answer is
the dog walker charge for a 45 minute walk [tex]\$28.5[/tex]
Statements
Step 3
The dependent variable is the number of hours true or false
The statement is false,
because the independent variable is the number of hours and the dependent variable is the walker fee in dollars
Step 4
The function for the walker fee is f(h)= 30h+6 true or false
The statement is True --------> see the Step 1
Step 5
The dog walker charges $22.5 for a 45 min walk true or false
The statement is False
Because the dog walker charges for a 45 minute walk [tex]\$28.5[/tex]
