Final answer:
To find the maximum weekly spending for the tourist, subtract the amount already spent from the total budget and divide by the weeks remaining. The inequality is m ≤ 342.5, which is represented by a graph with a vertical line at $342.50 and the shaded area below it.
Step-by-step explanation:
The question asks to determine the inequality and graph representing the maximum amount of money m that a tourist can spend per week to stay within a budget of $3,500, given that the tourist has already spent $75 and has 10 weeks left in the trip. To solve this, first calculate the remaining budget:
Total budget - Already spent = Remaining budget
$3,500 - $75 = $3,425
Then, divide the remaining budget by the number of weeks left:
Remaining budget / Number of weeks = Maximum weekly spending
$3,425 / 10 weeks = $342.50 per week
Therefore, the appropriate inequality to represent the maximum amount of money the tourist can spend per week is m ≤ 342.5. The corresponding graph would show weekly spending m on the horizontal axis and have a vertical line at $342.50 indicating that the weekly spending should not exceed this amount, with the shaded area on or below the line.