Question
Sarah's dad bought her a scooter that cost $89.95. He figures he can spend up to $30.05 on a helmet before he spends too much money in all.
Let x represent how much money Sarah's dad wants to spend in all. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Sarah's dad wants to spend at most $in all.
Let x represent how much money Sarah's dad wants to spend in all. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Sarah's dad wants to spend at most $in all.
Answers
GPT-4o mini
To describe the problem, we start with the cost of the scooter and the maximum amount he wants to spend on the helmet.
Let:
- Cost of the scooter = $89.95
- Maximum amount for the helmet = $30.05
The total amount he wants to spend in all (represented by \( x \)) must be at most the cost of the scooter plus the maximum amount he is willing to spend on the helmet. Therefore, we set up the following inequality to represent the situation:
\[
x \leq 89.95 + 30.05
\]
Now, let’s calculate the right side of the inequality:
\[
89.95 + 30.05 = 120.00
\]
So, the inequality is:
\[
x \leq 120.00
\]
This means that Sarah's dad wants to spend at most $120.00 in all.
Thus, completing the sentence we get:
Sarah's dad wants to spend at most $120.00 in all.
Let:
- Cost of the scooter = $89.95
- Maximum amount for the helmet = $30.05
The total amount he wants to spend in all (represented by \( x \)) must be at most the cost of the scooter plus the maximum amount he is willing to spend on the helmet. Therefore, we set up the following inequality to represent the situation:
\[
x \leq 89.95 + 30.05
\]
Now, let’s calculate the right side of the inequality:
\[
89.95 + 30.05 = 120.00
\]
So, the inequality is:
\[
x \leq 120.00
\]
This means that Sarah's dad wants to spend at most $120.00 in all.
Thus, completing the sentence we get:
Sarah's dad wants to spend at most $120.00 in all.