Question

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

Answer 1

D. Because the 3 is the rate and the 6 is what was already there.

Answer 2

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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