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10 A tourist wants to spend at most $3,500 on a cross-country adventure. The tourist has already spent $75.
If the tourist has 10 weeks left in the trip, which inequality and graph represent the maximum amount of money m the
tourist can spend per week to stay within budget?
m s 342.5
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ms 342.5
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m 2 342.5
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m2 342.5
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User Kyasbal
by
2.0k points

2 Answers

9 votes
9 votes

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.

User Eric Baker
by
2.6k points
23 votes
23 votes

Answer:

this makes no sense

Step-by-step explanation:

User Rafs
by
3.1k points