A basketball player has already scored 56 points in a game. The team record for points in a game is 72. Which equation would allow you to find out how many more points the player needs to tie the record?
A) [tex]$56-72=x$[/tex]
B) [tex]$56+72=x$[/tex]
C) [tex]$56+x=72$[/tex]
D) [tex]$72+x=56$[/tex]
Answer (2)
The problem states the player has 56 points and the record is 72.
We define x as the number of additional points needed.
The equation 56 + x = 72 represents the situation.
Therefore, the correct answer is C) 56 + x = 72 .
Explanation
Problem Analysis Let's analyze the problem. The basketball player has scored 56 points, and the team record is 72 points. We need to find an equation that helps us determine how many more points (let's call this 'x') the player needs to score to tie the record.
Formulating the Equation The equation should represent the current score plus the additional points needed equals the team record. This can be written as: 56 + x = 72 .
Checking the Options Now, let's check the given options: A) 56 − 72 = x (This is incorrect because it subtracts the record from the current score.) B) 56 + 72 = x (This is incorrect because it adds the current score and the record, which doesn't make sense in this context.) C) 56 + x = 72 (This is the correct equation, as it represents the current score plus the additional points needed equals the record.) D) 72 + x = 56 (This is incorrect because it adds the record and additional points to equal the current score, which is not what we want.)
Final Answer Therefore, the correct equation is 56 + x = 72 .
Examples
Imagine you're saving up to buy a new video game that costs $72. You've already saved $56. The equation 56 + x = 72 helps you figure out how much more money (x) you need to save to reach your goal. This type of problem is useful in budgeting and planning your finances.
The correct equation to determine how many more points a basketball player needs to tie the team record of 72 points, given that they have already scored 56 points, is 56 + x = 72 . Therefore, the chosen option is C) 56 + x = 72 .
;
