math word problem inequality

Question

a family decides to rent a boat for a day while on vacation.the bost's rental rate is $500 for the first 2 hour and $100 for each additional hour.suppose the family can spend up to $700 for the boat.write the inequality to show the number of hours for which they can rent the boat.how many hours can they rent the boat?how many total hours can they rent the boat for?

Answer 1

Total rent = y

 

no. of hour = x

 

y = 500 + 100(x-2)

 

y= 500+100x-200

 

y= 100x +300

 

write the inequality to show the number of hours for which they can rent the boat

700 ≤ 100x +300

 

 

how many hours can they rent the boat?

700 ≤ 100x +300

 

400 ≤ 100x

 

4 ≤ x

 

how many total hours can they rent the boat for?

 

for 4 hours