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 of oranges devin can buy at the store with his money

Answer 1

To determine the inequality that represents all possible values of \( p \), the number of pounds of oranges Devin can buy, we start by setting up the situation with the information given.

Let \( p \) be the number of pounds of oranges Devin buys.

The cost of the oranges is given as $2.50 per pound. Therefore, the total cost for \( p \) pounds of oranges is \( 2.50p \).

Since Devin has $20 to spend, the total cost must be less than or equal to $20. We can represent this situation with the following inequality:

\[
2.50p \leq 20
\]

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, we have:

\[
p \leq 8
\]

This means Devin can buy up to 8 pounds of oranges. Therefore, the inequality that represents all possible values of \( p \) is:

\[
p \leq 8
\]