Question

A student 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.
o f(x)=-5x+2
O f(x)=--x+3
OP(x)=2x+3
O f(x)==x+2
ਦੀ
O

Answer 1

Answer:

Second option on screen

See below for details

Step-by-step explanation:

Your answers options don't seem to match the question you've submitted. The correct asnwer options are on your screen. Your answer there is wrong.

If the student runs 1 km every 2 mins, then he'll run $\frac{1}2$ km every minute.

Therefore, he will have run $\frac{1}2x$ km after x minutes. In other words, he will get $\frac{1}2x$ km closer to the finish line every minute.

So we have

$f(x)=3-\frac{1}2x\\\\=-\frac{1}2x+3$