The distance a marathon runner covers can be modeled by the function d(t) = 153.8t + 86, where "d" represents the distance in meters and "t" represents the time in minutes. To the nearest kilometer, the distance she has run after twenty minutes is

Question 15 options:

3

3162

3000

2.5

The correct option is 3.

Plug in t = 20 into the function d(t) to find the distance traveled after twenty minutes:

d(20) = 153.8(20) + 86
d(20) = 3076 + 86
d(20) = 3162 meters

Rounding to the nearest kilometer, this is approximately 3 kilometers.