To determine how many more bagels Sherri needs to sell to reach her goal of at least 450 bagels, we can set up the following inequality:
Let \( b \) represent the number of additional bagels Sherri needs to sell.
Since she has already sold 75 bagels, the total number of bagels she would have sold after selling \( b \) more is \( 75 + b \).
She needs to sell at least 450 bagels, so we can write the inequality:
\[ 75 + b \geq 450 \]
To isolate \( b \), we can subtract 75 from both sides:
\[ b \geq 450 - 75 \] \[ b \geq 375 \]
Thus, the inequality showing the number of bagels \( b \) that Sherri still needs to sell is:
\[ b \geq 375 \]