Question

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?

Answer 1

"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.

Answer 2

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(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