Lucy received a $50.25 gift card for a photo center. she used to buy prints that costs 9 cents each the remaining balance B (in dollars) on the card after buying x prints is given by the following function B(X) = 50.25 - 0.09x what is the remaining balance on the card if Lucy bought 30 prints?

To find the remaining balance on the card after buying 30 prints, we substitute x = 30 into the function B(x) = 50.25 - 0.09x:

B(30) = 50.25 - 0.09(30)
B(30) = 50.25 - 2.7
B(30) = 47.55

Therefore, the remaining balance on the card if Lucy bought 30 prints is $47.55. Answer: \boxed{47.55}.

To find the remaining balance on the card after buying 30 prints, we need to substitute x = 30 into the function B(x) = 50.25 - 0.09x:

B(30) = 50.25 - 0.09(30)

Now we can simplify the expression:

B(30) = 50.25 - 2.7

B(30) = 47.55

Therefore, the remaining balance on the card after buying 30 prints is $47.55.

To find the remaining balance (B) on the card after buying 30 prints (x), we can use the given function B(X) = 50.25 - 0.09x.

Substituting x = 30 into the function, we get:
B(30) = 50.25 - 0.09(30)

First, let's simplify the calculation within the parentheses:
0.09(30) = 2.7

Now we substitute the simplified value back into the equation:
B(30) = 50.25 - 2.7

Next, we subtract 2.7 from 50.25 to find the remaining balance:
B(30) = 47.55

Therefore, the remaining balance on the card after Lucy bought 30 prints is $47.55.