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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

Respuesta :

mixter17

Hello!

The answer is:

The correct answer is:

d. [tex]f(m)=10+0.25*m[/tex]

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:

[tex]x_{f}=x_{o}+v*t[/tex]

Where,

[tex]x=FinalPosition\\x_{o}=InitialPosition\\v=speed\\t=time[/tex]

Now, using the given information we have that=

[tex]x_{f}=x_{o}+v*t[/tex]

[tex]x_{f}=10miles+0.25mph*m[/tex]

We have that:

[tex]x_{f}=f(m)[/tex]

So,

[tex]f(m)=10miles+0.25mph*m[/tex]

Hence, we have that the correct answer is:

d. [tex]f(m)=10+0.25*m[/tex]

Have a nice day!

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