Question
Mr. Clarke plans to buy 3 security cameras to install outside his donut shop. He wants to spend less than $450 on the cameras in all.
Let x represent how much Mr. Clarke wants to spend on each camera. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Mr. Clarke wants to spend less than $ on each camera.
Let x represent how much Mr. Clarke wants to spend on each camera. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Mr. Clarke wants to spend less than $ on each camera.
Answers
GPT-4o mini
To describe the problem with an inequality, we know that Mr. Clarke plans to buy 3 cameras and wants to spend less than $450 total. If \( x \) represents the amount he wants to spend on each camera, the total amount spent on 3 cameras can be represented as \( 3x \).
The inequality that represents the situation is:
\[ 3x < 450 \]
Now, let's solve the inequality:
1. Divide both sides by 3:
\[
x < \frac{450}{3}
\]
2. Calculate the right side:
\[
x < 150
\]
Thus, the solution to the inequality is \( x < 150 \).
Completed sentence: Mr. Clarke wants to spend less than $150 on each camera.
The inequality that represents the situation is:
\[ 3x < 450 \]
Now, let's solve the inequality:
1. Divide both sides by 3:
\[
x < \frac{450}{3}
\]
2. Calculate the right side:
\[
x < 150
\]
Thus, the solution to the inequality is \( x < 150 \).
Completed sentence: Mr. Clarke wants to spend less than $150 on each camera.