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
Mathematics
evalles
Question
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?
2 Answer

1. User Answers morgaine816
The format that this fits in is y=mx+b where m=slope and b=y intercept. So 6 is the yintercept.
Hope this helps. 
2. User Answers lidaralbany
Answer:
Here 6 represents the initial distance of the ant from the home.
( i.e. initially when t=0 the ant was at a distance of 6 units from the home )
Stepbystep explanation:
The linear function which represents the distance from home for an ant t minutes after starting out from a location near its home is given by:
y=3t+6
We know that for any linear function of the type:
y=mx+c
m represents the slope and c represents the yintercept of the function.
i.e. m represents the per unit change and c represent the initial value i.e. when t=0
Here we have: c=6
i.e. it represents the initial distance of the ant from the home.