Connect with a community that values knowledge and expertise on IDNLearn.com. Our experts are available to provide accurate, comprehensive answers to help you make informed decisions about any topic or issue you encounter.
Sagot :
Certainly! Let's break down the problem step by step.
The videography team won a monetary prize of [tex]$1350. This amount needs to be distributed equally among \( x \) people on the team. To determine how much each person would receive, we need to divide the total prize amount by the number of team members. The total prize is $[/tex]1350, and the number of people on the team is [tex]\( x \)[/tex]. Therefore, the expression representing how much each person would get if there are [tex]\( x \)[/tex] people on the team would be:
[tex]\[ \frac{1350}{x} \][/tex]
Now, let's evaluate the given options to see which one matches our expression:
- (A) [tex]\(\frac{1350}{x}\)[/tex]: This matches our expression exactly, as it correctly divides the total amount by the number of team members.
- (B) [tex]\(1350 + x\)[/tex]: This represents the sum of the total prize and the number of people, which is incorrect.
- (C) [tex]\(\frac{1350}{5}\)[/tex]: This would only be correct if there are specifically 5 people on the team, and we are given that there are [tex]\( x \)[/tex] people, not necessarily 5.
- (D) [tex]\(1350 - x\)[/tex]: This would subtract the number of team members from the total prize, which is also incorrect.
Therefore, the correct answer is:
[tex]\[ \text{(A) } \frac{1350}{x} \][/tex]
The videography team won a monetary prize of [tex]$1350. This amount needs to be distributed equally among \( x \) people on the team. To determine how much each person would receive, we need to divide the total prize amount by the number of team members. The total prize is $[/tex]1350, and the number of people on the team is [tex]\( x \)[/tex]. Therefore, the expression representing how much each person would get if there are [tex]\( x \)[/tex] people on the team would be:
[tex]\[ \frac{1350}{x} \][/tex]
Now, let's evaluate the given options to see which one matches our expression:
- (A) [tex]\(\frac{1350}{x}\)[/tex]: This matches our expression exactly, as it correctly divides the total amount by the number of team members.
- (B) [tex]\(1350 + x\)[/tex]: This represents the sum of the total prize and the number of people, which is incorrect.
- (C) [tex]\(\frac{1350}{5}\)[/tex]: This would only be correct if there are specifically 5 people on the team, and we are given that there are [tex]\( x \)[/tex] people, not necessarily 5.
- (D) [tex]\(1350 - x\)[/tex]: This would subtract the number of team members from the total prize, which is also incorrect.
Therefore, the correct answer is:
[tex]\[ \text{(A) } \frac{1350}{x} \][/tex]
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.