Sure! Let's solve this step-by-step.
1. Initial Number of Cards:
Let the initial number of baseball cards Blake has be [tex]\( b \)[/tex].
2. Percentage Increase:
Blake's aunt increases his total number of cards by [tex]\( 25\% \)[/tex]. To find how many cards this is, we calculate [tex]\( 25\% \)[/tex] of [tex]\( b \)[/tex].
[tex]\[ \text{Increase} = 0.25 \times b \][/tex]
3. Total Number of Cards After the Increase:
Now, we need to add this increase to the initial number of cards to find the new total.
[tex]\[ \text{New Total} = b + (0.25 \times b) \][/tex]
4. Simplifying the Expression:
We can factor out the [tex]\( b \)[/tex] in the expression above:
[tex]\[ \text{New Total} = b (1 + 0.25) \][/tex]
[tex]\[ \text{New Total} = 1.25 \times b \][/tex]
Therefore, the expression that represents Blake's total number of cards now is:
[tex]\[ \boxed{1.25b} \][/tex]
Thus, the correct answer is:
C. [tex]\( 1.25 b \)[/tex]
