Astudent is running a 3-kilometer race. he runs 1 kilometer every 2 minutes. select the function that describes his distance from the finish line after x minutes. f(x) = − 1 over 3x + 2 f(x) = − 1 over 2x + 3 f(x) = 1 over 2x + 3 f(x) = 1 over 3x + 2

We have been given that the student runs 1 kilometer every 2 minutes. Therefore, the velocity of the student is given by

We know the formula

Thus, the distance traveled after x minutes is given by

Therefore, the distance traveled from the finish line is given by

Therefore, second option is correct.

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step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is