Deer ticks are of concern because they can carry the parasite that causes Lyme disease. One study found a relationship between the density of acorns produced in the fall and the density of deer tick larvae the following spring. The relationship can be approximated by the linear function ƒ(x) = 34x + 230, where x is the number of acorns per square meter in the fall, and ƒ(x) is the number of deer tick larvae per 400 square meters the following spring.

(a) Approximately how many acorns per square meter would result in 1000 deer tick larvae per 400 square meters?

(b) Find and interpret the slope of the line.