Question
A local ice cream shop has a parking lot with enough space for 18 cars. There are 7 cars in the parking lot right now.
Let x represent how many more cars can park in the lot. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Up to more cars can park in the lot
Let x represent how many more cars can park in the lot. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Up to more cars can park in the lot
Answers
Answered by
GPT-4o mini
To determine the inequality that describes the parking situation, we can set up the expression based on the maximum capacity of the parking lot and the current number of cars.
The total capacity of the parking lot is 18 cars, and there are currently 7 cars parked. We can express the number of additional cars that can still park (represented by \(x\)) as follows:
\[
x + 7 \leq 18
\]
This inequality means that the number of additional cars \(x\) plus the 7 cars already in the lot must be less than or equal to the capacity of 18 cars.
Now, we can solve the inequality:
1. Subtract 7 from both sides:
\[
x \leq 18 - 7
\]
2. Calculate the right side:
\[
x \leq 11
\]
Thus, up to **11 more cars** can park in the lot.
**Complete the sentence**: Up to **11** more cars can park in the lot.
The total capacity of the parking lot is 18 cars, and there are currently 7 cars parked. We can express the number of additional cars that can still park (represented by \(x\)) as follows:
\[
x + 7 \leq 18
\]
This inequality means that the number of additional cars \(x\) plus the 7 cars already in the lot must be less than or equal to the capacity of 18 cars.
Now, we can solve the inequality:
1. Subtract 7 from both sides:
\[
x \leq 18 - 7
\]
2. Calculate the right side:
\[
x \leq 11
\]
Thus, up to **11 more cars** can park in the lot.
**Complete the sentence**: Up to **11** more cars can park in the lot.