a prom ticket at Valley High School costs $160. Bryan is going to save money for his ticket by walking his neighbors 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.
a 21x + 35 > 160
b 21 x + 35 < 160
c 35 x 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:
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 need to set up an inequality.
Let's assume Bryan needs to walk the dog for "x" number of weeks.
The amount of money Bryan earns each week is $21 (for walking the dog), so the total amount of money he earns in "x" weeks would be 21x.
Bryan has already saved $35, so the total amount of money he has available currently is 35.
Since the cost of the prom ticket is $160, we need to find an inequality comparing the total amount of money Bryan earns (21x) plus his current savings ($35) with the cost of the prom ticket ($160).
Therefore, the correct inequality is:
21x + 35 ≥ 160
Which means option a) "21x + 35 > 160" is the correct choice.
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 define:
x = the number of weeks Bryan walks the dog
$21 = the amount Bryan earns per week walking the dog
$35 = the amount Bryan has already saved
$160 = the cost of the prom ticket
Since Bryan wants to earn enough money to pay for his prom ticket ($160), his earnings from walking the dog (21x) plus the amount he has already saved ($35) must be greater than the cost of the ticket:
21x + 35 > 160
Therefore, the correct inequality that can be used to find the minimum number of weeks Bryan must walk the dog to earn enough money to pay for his prom ticket is:
a) 21x + 35 > 160