Question

Let y 4t + 2 be a linear function representing the distance from home for an ant tminutes after starting out from a location near its home. What does the number 4 represent in this function

Answer 1

The distance and ant travels after leaving its mound per minute.

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