Final answer:
The maximum number of video games Jasmine can buy with her savings is 24.
Step-by-step explanation:
To find the maximum number of video games Jasmine can buy with her savings, we need to set up an inequality. Since the video games cost $43 each, the total cost of the video games can be represented as 43x, where x is the number of video games. Jasmine's savings of $1,128 can be represented as 1128. So, the inequality becomes:
43x + 72 ≤ 1128
To solve for x, we can subtract 72 from both sides of the inequality:
43x ≤ 1056
Finally, divide both sides of the inequality by 43:
x ≤ 24
Therefore, the maximum number of video games Jasmine can buy with her savings is 24.