Steve and Brian are both avid bicyclists. Each week, Steve rides for a total of 2x hours at an average speed of x miles per hour. sBrian rides 6 more hours a week than Steve, but at an average speed that is 4 miles per hour less than Steve's average speed.
Which of the following functions will give the total distance that Brian rides each week, in miles?

m(x) = 2x^2 - 2x - 24

Step-by-step explanation:

We will use the speed formula for this.

d/t = s

d is distance

t is time

s is speed

since we are looking for a function that gives the distance, we must rewrite

the equation to have d on one side of the equation by itself. We will do this by multiplying both sides by t.

(d/t)t = (s)t

which simplifies to:

d = st

Now we must find out what s and t are.

t: Steve's time riding is 2x hours, and Brian's is 6 more hours, so

Brian's time riding is 2x + 6.

so t = 2x + 6.

s: Steve's speed is x mph. Brian's is 4 less than that so

s = x - 4.

Now we can plug in what we know the the formula we made: d=st

d = (2x + 6)(x-4)

now we can FOIL.

(2x)(x)= 2x^2

(2x)(-4)= -8x

(6)(x) = 6x

(6)(-4) = -24

d = 2x^2 - 8x + 6x - 24

simplify:

d = 2x^2 -2x - 24

p.s. This was my first time answering a question on , sorry if it

was not explained well. Let me know if you have questions.

the third picture

step-by-step explanation:

answer: what do you mean