Question
devin goes to the store with a $20 bill to buy some oranges. the oranges cost $2.50 per pound. which inequality represents all possible values of p, the number of pounds devin can buy
Answers
GPT-4o mini
To find the inequality that represents all possible values of \( p \), the number of pounds of oranges Devin can buy, we start with the information provided:
- Devin has $20.
- The cost of oranges is $2.50 per pound.
The total cost of the oranges can be expressed as \( 2.50p \), where \( p \) is the number of pounds. Devin needs to ensure that the total cost does not exceed the amount of money he has (which is $20). Therefore, we can set up the following inequality:
\[
2.50p \leq 20
\]
This inequality indicates that Devin can buy any number of pounds of oranges as long as the total cost is less than or equal to $20.
To solve for \( p \), we can divide both sides of the inequality by \( 2.50 \):
\[
p \leq \frac{20}{2.50}
\]
Calculating the right side:
\[
\frac{20}{2.50} = 8
\]
Thus, the inequality representing all possible values of \( p \) is:
\[
p \leq 8
\]
This means Devin can buy up to 8 pounds of oranges without exceeding his budget.
- Devin has $20.
- The cost of oranges is $2.50 per pound.
The total cost of the oranges can be expressed as \( 2.50p \), where \( p \) is the number of pounds. Devin needs to ensure that the total cost does not exceed the amount of money he has (which is $20). Therefore, we can set up the following inequality:
\[
2.50p \leq 20
\]
This inequality indicates that Devin can buy any number of pounds of oranges as long as the total cost is less than or equal to $20.
To solve for \( p \), we can divide both sides of the inequality by \( 2.50 \):
\[
p \leq \frac{20}{2.50}
\]
Calculating the right side:
\[
\frac{20}{2.50} = 8
\]
Thus, the inequality representing all possible values of \( p \) is:
\[
p \leq 8
\]
This means Devin can buy up to 8 pounds of oranges without exceeding his budget.