Allen is running a marathon. He would like to finish the race in under 5 point 5 hours. He has already run 3 hours. The inequality 3 plus t is less than 5 point 5 represents the situation. Which number line shows how much longer Allen can run and still meet his goal?
Answer
A
Image with description A number line ranges from 0 to 3 by one halves. The number line represents the variable t. An open circle is on 2 point 5. A ray is drawn from that circle pointing to the left.
B
Image with description A number line ranges from 0 to 3 by one halves. The number line represents the variable t. An open circle is on 2 point 5. A ray is drawn from that circle pointing to the right.
C
Image with description A number line ranges from 0 to 3 by one halves. The number line represents the variable t. A closed circle is on 2 point 5. A ray is drawn from that circle pointing to the left.
D
Image with description A number line ranges from 0 to 3 by one halves. The number line represents the variable t. A closed circle is on 2 point 5. A ray is drawn from that circle pointing to the right.
Explanation
Solve the inequality 3 + t < 5.5 by subtracting 3 from both sides: t < 2.5. The open circle at 2.5 shows that 2.5 hours is not included, and the ray pointing left shows values less than 2.5. Therefore, choice A is correct.
AI-written and checked against the verified answer.