Chapter 5.CR, Problem 17CR

Reminder Round all answers to two decimal places unless otherwise indicated.

Chemical Reaction The following table shows for a certain chemical reaction, the rate of reaction $R$, in moles per second, as a function of the concentration $x$, in moles per cubic meter, of the product.

Concentration x	$10$	$20$	$30$	$40$	$50$
Reaction rate R	$18$	$12$	$7$	$3$	$0$

a. Use quadratic regression to find a model for the data. Round regression parameters to three decimal places.

b. Use your model to estimate $R\left(24\right)$, and explain what your answer means.

c. Estimate the concentration at which the reaction rate is $6$ moles per cubic meter per second. (Consider concentrations only up to a level of $50\text{moles}$ per cubic meter.)