Answer:
The correct option is A.
Step-by-step explanation:
It is given that Beth makes a scale drawing of her old business card by using the scale factor 5/4.
If the scale factor is less than 1, then it represents compression and if the scale factor is greater than 1, then it represents enlargement.
Since the scale factor is greater than 1 so the scale drawing is an enlargement.
Let the initial dimension of business card is a by b.
Her scale drawing is [tex]2\frac{1}{2}[/tex] in by 5 in rectangle. Multiply each dimension by reciprocal of scale factor to find the dimension of original card.
[tex]a=2\frac{1}{2}\times \frac{4}{5}=\frac{5}{2}\times \frac{4}{5}=2[/tex]
[tex]b=5\times \frac{4}{5}=4[/tex]
The dimension of original card is 2 in by 4 in.
Therefore the correct option is A.
