To accurately answer your question regarding the only type of rest used in the excerpt of "A Flower Bold In Me You See," I would need to see the image of the music notation. However, since I can't see images, I can guide you on how to identify the rests.
You need to look at the notation and see which types of rests are present. A half rest looks like a hat and is worth two beats, a quarter rest looks like a squiggly line and is worth one beat, an eighth rest looks like a number seven with a curve and is worth half a beat, and a sixteenth rest has two flags and is worth a quarter of a beat.
To determine the correct answer, check the excerpt for the presence of these rests. If only one type is there, that will be your answer. If you have the ability to describe the notation or specify the rests present, I can help you further.