Question

Sam is driving on the freeway and he just passed mile marker 361. The fastest he will drive is 75 miles per hour. The mile markers are increasing on his route.If y is his speed, which inequality represents his speed from context. y≥75 y≤75 y<75 y>75 The expression 361+2y represents what mile marker he is at after 2 hours. Which inequality describes the mile marker he would be seeing at this point? 361+2y≥511 361+2y≤511 361+2y<511 361+2y>511 Submit QuestionQuestion 3

Answer 1

Ok, so

We know that the fastest he will drive is 75 miles per hour. If y is his speed, we can write:

$y\leq75$

This is, the option B.

Now, the expression 361 + 2y represents what mile marker he is at after 2 hours. We know that the fastest he will drive is 75, so we could replace y=75 in the last expression to know what mile marker he would be seeing at that point. This is:

$361+2y\Rightarrow361+2(75)\Rightarrow361+150=511$

Now, we know that the inequality would be:

$361+2y\leq511$

This is, the option B.