Let y = 4t + 2 be a linear function representing the distance from home for an ant t minutes after starting out from a location near its home. What does the number 2 represent in this function?. . A. The ant is moving 4 feet every 2 minutes.. B. The ant is moving at 2 feet per minute.. C. The ant is 2 feet from its home after t minutes.. D. The ant started out 2 feet from its home.. . is it D?
"The ant started out 2 feet from its home" is the one among the following choices given in the question that number 2 represent in this function. The correct option among all the options that are given in the question is the fourth option or option "D". I hope that this is the answer that has actually come to your desired help.
Let
t-------> the time in minutes
y------> the distance from home for an ant in feet
we know that
\(y=4t+2\)
In this linear equation
the slope m is equal to
\(m=4\frac{feet}{minute}\)
The y-intercept is equal to--------> \(2\)
in this problem the y-intercept is the value of the distance in feet when the value of the time in minutes is zero
so
The y-intercept is equal to--------> \(2\ feet\)
therefore
the answer is the option
D. The ant started out 2 feet from its home