Answer:

the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%
Step-by-step explanation:
Given that:
the number of units demanded 
Taking differentiations ; we have,


Now; the price elasticity of demand using the differentials definition of elasticity is:

![E(p) =[(1-3)e^{-3p}]*[\dfrac{p}{pe^{-3p}}]](https://tex.z-dn.net/?f=E%28p%29%20%3D%5B%281-3%29e%5E%7B-3p%7D%5D%2A%5B%5Cdfrac%7Bp%7D%7Bpe%5E%7B-3p%7D%7D%5D)

(b) Use your answer from part (a) to estimate the percent change in q when the price is raised from $2.00 to $2.10.
The estimate of the percentage change in price is :

= 5%
From (a)

Now at p = $2.00
E(2) = 1 - 3 (2.00)
E(2) = 1 - 6
E(2) = -5
The percentage change in q = -5 × 5%
The percentage change in q = -25%
Thus; we can conclude that the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%