A prom ticket at valley high school cost 160$ Bryan is going to save money for his ticket by walking his neighbors dog for 21$ per week. Bryan has already save 35$. Which inequality could be used to find the minimum numbers of weeks bryan must walk the dog to earn enough money to pay for his prom tikcket
Let "w" represent the minimum number of weeks Bryan must walk the dog. Since he earns $21 per week and has already saved $35, the total amount of money he will have after "w" weeks of walking the dog is 21w + 35. To find the minimum number of weeks needed to earn enough money to pay for his prom ticket, the inequality is:
21w + 35 ≥ 160.
Let's assume the number of weeks Bryan needs to walk the dog to earn enough money to pay for his prom ticket is represented by 'w'.
First, we need to calculate the remaining amount of money Bryan needs to save:
Total cost of the prom ticket = $160
Amount already saved = $35
Remaining amount = Total cost - Amount already saved
Remaining amount = $160 - $35
Remaining amount = $125
Since Bryan earns $21 per week, the minimum number of weeks he must walk the dog to earn enough money would be:
21w ≥ 125
Thus, the inequality that could be used to find the minimum number of weeks Bryan must walk the dog is:
21w ≥ 125
To find the minimum number of weeks Bryan must walk the dog to earn enough money to pay for his prom ticket, we need to set up an inequality. Let's represent the number of weeks Bryan needs to walk the dog as "w".
First, let's calculate how much money Bryan still needs to save:
The cost of a prom ticket is $160.
Bryan has already saved $35.
So, the amount of money he still needs to save is: $160 - $35 = $125.
Next, we need to calculate how much money Bryan can earn each week by walking his neighbor's dog: $21.
To find the minimum number of weeks Bryan needs to walk the dog, we set up the inequality:
21w ≥ 125
Explanation:
The left side of the inequality, 21w, represents the money Bryan can earn by walking the dog for "w" number of weeks.
The right side of the inequality, 125, represents the amount of money Bryan still needs to save in order to have enough for the prom ticket.
By solving this inequality, we can find the minimum number of weeks Bryan needs to walk the dog to earn enough money to pay for his prom ticket.