Thank you so much for helping me but for #2 c.) is it yes or a no, though i did the rest of my questions but im stuck on this one so can you please help and explain a lot cause i have a test on this soon and i want to understand it, thanks :)
Serena can rent a video game for $3.49 per day. She can buy the game for $49.95. After how many days does it become cheaper for Serena to buy the game?
a.) use an inequality to reprsent the situation
b.) use the ineqality to solve the problem
c.) if the game takes serena 25h to solve and she plays 1.5h a day, should she rent or buy the game? verify your solution.
Thank you
I tried doing the question: are these correct:
for a.) 3.49x< or equal to 49.95
b.) 49.95/3.49= 14.3= 14 days
and im stuck on c.)
Since you did not sign with a name and used "anonymous" instead, it is hard to go back and find which post contains #2 c)
As to the above ....
a) and b) are correct
if you get a decimal, like in x < 49.35/3.49 < 14.3
actually try the whole number above and below to see which one works
c) Serena will need 25/1.5 or 16 2/3 days to complete the game, but again, we need whole numbers .
So she will need to rent the game for 17 days, not 16
the cost for 17 days would be 17(3.49) = 59.33 , so yes, she should buy it for only 49.95
oh for c.) i got: she should buy the game because in 14 days she will have only completed 21 hours of the game: 1.5 x 14= 21
25/1.5 = 16 days to complete the game, therefore she should buy it
but can you check these to see if im right and thank you so much for helping me, it means a lot and i have finally understood how to do it thank you:):):):)
To solve this problem, we need to compare the cost of renting the game for a certain number of days with the cost of buying the game.
a.) To represent the situation with an inequality, let's call the number of days Serena will rent the game "d". The cost of renting the game for "d" days would be 3.49 multiplied by "d". The cost of buying the game outright is given as $49.95. So, our inequality would be:
3.49d > 49.95
b.) Now, let's solve the inequality to find the value of "d" when it becomes cheaper to buy the game. Divide both sides of the inequality by 3.49:
d > 49.95 / 3.49
Using a calculator, the result is approximately 14.31. Since you cannot buy a fraction of a day, round this value up to the next whole number:
d ≥ 15
Therefore, if Serena rents the game for 15 or more days, it becomes cheaper to buy the game instead.
c.) Now, let's verify whether Serena should rent or buy the game if it takes her 25 hours to solve and she plays 1.5 hours a day. First, convert the total time taken to days by dividing 25 hours by 1.5 hours per day:
25 / 1.5 ≈ 16.67 days
Because you cannot rent the game for a fraction of a day, round this value up to the next whole number:
≥ 17 days
Since 17 days is greater than or equal to 15 days, Serena should buy the game instead of renting it for 17 days.
I hope this explanation helps you understand the problem better. Good luck with your test! Let me know if you have any further questions.