Question

Alexa lives 4 kilometers away from school. She leaves home and rides her bicycle toward school at a speed of 0.25 kilometer per minute.Enter the function f(x) that represents Alexa's distance in kilometers from school after x minutes. I NEED ANSWERS SO I DONT FAIL THIS SCHOOL YEAR PLEASE

Answer 1

Alexa lives 4 kilometers away from school.

Distance between Alexa house and school = 4km

She leaves home and rides her bicycle toward school at a speed of 0.25 kilometer per minute

Speed of Alexa = 0.25km/min

The relation between speed, distance and time is express as:

`\text{Speed}=(Dis\tan ce)/(Time)`

Let time = x minutes

Substitute the value, time = x, Distance = f(x), speed = 0.25km/min

`\begin{gathered} \text{Speed}=(Dis\tan ce)/(Time) \\ 0.25=(f(x))/(x) \\ f(x)\text{ = 0.25x} \end{gathered}`

Answer: f(x) = 0.25x