Final answer:
However, for whole hours and more than 300 desks, Buffy needs to work for more than 13 hours, making the answer x > 13. Buffy needs to make more than 300 desks and has made 144. Since 13 desks are made per hour, we calculate the additional desks needed and find x > 12. Option E.
Step-by-step explanation:
Buffy's goal is to make more than 300 desks, and she has already produced 144.
The key here is to determine how many more desks need to be made and how long that will take.
We calculate the remaining desks by subtracting the already made desks from the target: 300 - 144 = 156 desks left to be made.
Given that 13 desks can be made in one hour, we will set up an inequality to find the number of hours needed, x, to produce at least 156 desks. The inequality is 13x > 156.
To find x, divide both sides of the inequality by 13, resulting in x > 12. Therefore, Buffy will need to work more than 12 hours to meet her goal.
However, the answers provided are in the twenties, so we should consider that the answer choices seem to expect the total number of desks to be strictly greater than 300.
In this case, we must produce at least one more desk than 156 to ensure we have 'greater than.'
So we solve the inequality 13x > 157, which gives us x > 12.0769, and since x must be a whole number of hours, Buffy needs to work for more than 13 hours to meet her goal.
Therefore, the closest correct answer from the options provided is x > 13, which allows Buffy to create at least 169 desks (13 desks/hour × 13 hours), thus meeting her goal of creating more than 300 desks in total.
Hence, the right answer is option E. x > 13.
The complete question is:
Buffy owns a business that makes desks. She wants to make more than 300 desks. The company made 144 desks so far. If 13 desks can be made in an hour, how long will it take to reach Buffy's goal? Write an inequality, using x as the variable, that represents this situation.
a) x>23
b) x>20
c) x>22
d) x>25
e) x>13