Q5. - Algebra 1

Question

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

Kyle scored 14 points in his last basketball game, bringing his total points for the season to over 100. Which number line represents the number of points Kyle has scored prior to the last game?

A. 

B. 

C. 

D. 

Step-by-Step Solution

Answer

The number line that represents the number of points Kyle has scored prior to the last game is:

Therefore, the option B is correct.

Step 1. Write the inequality for the given problem.

It is given that Kyle has scored 14 points in his last basketball game and the total points for the season should be over 100 points.

Let be the number of points Kyle has scored prior to the last game.

The number of points in last game and prior game are 14 and $x$.

The total points for the season is $x+14$.

It is given that the total points for the season should be over 100 points.

Therefore, the inequality for the given problem is: $x+14>100$

Step 2. Draw the number line that represents the number of points Kyle has scored prior to the last game.

The inequality for the given problem is:

$x+14>100$

Solve the inequality $x+14>100$.

$\begin{array}{c}x+14>100\\ x+14-14>100-14\\ x>86\\ x\in \left(86,\infty \right)\end{array}$

Graph the solution set $x\in \left(86,\infty \right)$ on the number line.

Therefore, the number line that represents the number of points Kyle has scored prior to the last game is:

Therefore, option B is correct.