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!