A prom ticket at Valley High School costs $160. Bryan is going to save money for his ticket by walking his neighbor’s dog for $21 per week. Bryan has already saved $35. Which inequality could be used to find the minimum number of weeks Bryan must walk the dog to earn enough money to pay for his prom ticket?
Responses
A 21x + 35 ≥ 16021x + 35 ≥ 160
B 21x + 35 ≤ 16021x + 35 ≤ 160
C 35x + 21 ≥ 16035x + 21 ≥ 160
D 35x + 21 ≤ 160
The correct inequality to find the minimum number of weeks Bryan must walk the dog to earn enough money to pay for his prom ticket is:
B. 21x + 35 ≤ 160
We can solve this problem by setting up an inequality. Let's say Bryan needs to walk the dog for x number of weeks.
In each week, Bryan earns $21 by walking the dog. So, the total amount of money he will earn after x weeks is 21x.
Bryan has already saved $35. To pay for his prom ticket, he needs $160 in total. Therefore, the inequality that represents this situation is:
21x + 35 ≥ 160.
So, the correct answer is A) 21x + 35 ≥ 160.
To find the minimum number of weeks Bryan must walk the dog to earn enough money to pay for his prom ticket, we can set up an inequality.
Let's let x represent the number of weeks.
Each week, Bryan earns $21 by walking the dog. So, the amount of money he will earn in x weeks is 21x.
He has already saved $35.
To determine the minimum number of weeks he must walk the dog to earn enough money to pay for his prom ticket, we need to find the number of weeks x that satisfies the inequality:
Amount of money earned (21x) + Amount of money saved ($35) ≥ Cost of prom ticket ($160)
The inequality that represents this is:
21x + 35 ≥ 160
Therefore, the correct inequality is:
A) 21x + 35 ≥ 160