Question

Joe is riding his bike home. He begins 10 miles away from his house and is riding home at a speed of 0.25 miles per minute. Which function f(m) represents the distance he is away from his house given how many minutes m he has been riding?
Select one:
a. f(m)=10m−0.25m

b. f(m)=10−0.25m
c. f(m)=0.25+10m

d. f(m)=10+0.25m

Answer 1

Hello!

The answer is:

The correct answer is:

d. $f(m)=10+0.25*m$

Why?

From the statement we know that he begins at 10 miles away from his house riding at a speed of 0.25 miles per hour (h)

We have that:

$x_{f}=x_{o}+v*t$

Where,

$x=FinalPosition\\x_{o}=InitialPosition\\v=speed\\t=time$

Now, using the given information we have that=

$x_{f}=x_{o}+v*t$

$x_{f}=10miles+0.25mph*m$

We have that:

$x_{f}=f(m)$

So,

$f(m)=10miles+0.25mph*m$

Hence, we have that the correct answer is:

d. $f(m)=10+0.25*m$

Have a nice day!