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 set up the inequality, we know that Sarah's dad spent $89.95 on the scooter and wants to spend at most $30.05 on a helmet. This means the total amount he is willing to spend can be expressed as:
\[
x = 89.95 + 30.05
\]
However, since he only wants to spend up to that amount, we'll express this as an inequality:
\[
x \leq 89.95 + 30.05
\]
Now, let's calculate \( 89.95 + 30.05 \):
\[
89.95 + 30.05 = 120.00
\]
So, the inequality can be written as:
\[
x \leq 120.00
\]
This indicates that Sarah's dad wants to spend at most $120.00 in all.
Therefore, the completed sentence is:
Sarah's dad wants to spend at most $120.00 in all.
\[
x = 89.95 + 30.05
\]
However, since he only wants to spend up to that amount, we'll express this as an inequality:
\[
x \leq 89.95 + 30.05
\]
Now, let's calculate \( 89.95 + 30.05 \):
\[
89.95 + 30.05 = 120.00
\]
So, the inequality can be written as:
\[
x \leq 120.00
\]
This indicates that Sarah's dad wants to spend at most $120.00 in all.
Therefore, the completed sentence is:
Sarah's dad wants to spend at most $120.00 in all.