Please Answer !!let y=3t+6 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 6 represent in this function?
A. The ant is moving 6 feet every 3 minutes
B. The ant is moving at 6 feet per minute
C. The ant is 6 feet from its home after t minutes
D. The ant started out 6 feet from its home

Verified Answer :

DBecause the 3 is the rate and the 6 is what was already there.

The number \(6\) represent in this function that the ant started out \(6\) feet from its home.

What is linear function?

Linear function is defined as a function that has either one or two variables without exponents.

We have,

\(y=3t+6\)  be a linear function.

\(y=\)  distance from home for an ant

\(t=\)  minutes after starting out from a location near its home

So,

According to the question,

\(y=3t+6\)

So,

When \(t=0\) then,

\(y=6\)

So, the number \(6\) represent that the ant started out \(6\) feet from its home.

Hence, we can say that the number \(6\) represent in this function that the ant started out \(6\) feet from its home.

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