the complete question is
John is participating in a marathon that is 26.2 miles and he finishes in 4.5 hours. his distance, d, depends on his time, t. which is an appropriate domain for this situation?
A.)0<t<26.2
B.)0<t<4.5
C.)0<d<4.5
D.)0<d<26.2
we know that
in this problem
t is the independent variable
and
d the dependent variable
so
the domain refers to the possible values of time t
therefore
we know that
John finishes in 4.5 hours
so
t<4.5 hours
and time t must be positive-------> t>0
the answer is the option
B.)0<t<4.5
Answer:
The appropriate domain for the given situation is 0 < t < 4.5.
Step-by-step explanation:
According to the given information John is participating in a marathon that is 26.2 miles and he finishes in 4.5 hours.
Domain is the set of input values or the values of dependent variable.
Range is the set of output values or the values of independent variable.
It is given that the distance, d, depends on his time, t. It means the d is dependent variable and t is independent variable.
He participating in a marathon so the time must be greater positive, i.e., t>0.
He finishes in 4.5 hours. So, t < 4.5.
Therefore the appropriate domain for the given situation is 0 < t < 4.5.
