Final answer:
After digging for 30 minutes, Carter would have a hole that is 2 1/4 feet deep. Subtracting the 7/8 feet that the bush fills, the elevation of the hole relative to the ground level is 1 3/8 feet.
Step-by-step explanation:
The student's question relates to finding the relative elevation of a hole after placing a bush in it, taking into account the rate at which the hole was dug. Carter digs a hole at a rate of 3/4 feet every 10 minutes, and after 30 minutes, he has a certain depth.
To find the depth dug in 30 minutes, we multiply the rate by the number of 10-minute intervals in 30 minutes. There are 3 intervals of 10 minutes in 30 minutes, so Carter would have dug 3 * (3/4) feet, which equals 9/4 feet or 2 1/4 feet. When he places a bush in the hole that fills 7/8 feet of the hole, we subtract this from the total depth to find the final depth. The elevation relative to the ground after placing the bush is therefore 2 1/4 feet - 7/8 feet, which equals 1 3/8 feet.