A prom ticket at Valley high school cost $160. Bryan is going to save money for his ticket by walking his neighbor’s dog for $21 per week. Bryan has already has saved $35. Which inequality could be used to find the minimum number of weeks Bryan must walk the dog to earn enough to pay for his prom ticket?

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It is given in the question that

A prom ticket at Valley high school cost $160. Bryan is going to save money for his ticket by walking his neighbor’s dog for $21 per week. Bryan has already has saved $35.

Let the number of weeks be x

And sum of saved money and his earning in x weeks must be greater than or equal to 160.

That is

[tex]35+21x\geq160[/tex]

Answer:

21x represents $21 multiplied by the number of x weeks, and 35 represents the fixed amount of $35 already saved.

Setting the expression 21x + 35 to greater than or equal to 160 allows you to find the minimum number of weeks.  

21x + 35 ≥ 160

x ≥ 5.95

Therefore, Bryan needs to walk the neighbor's dog for 6 weeks.