Chapter 8.7, Problem 10TFS

The goal of these matching questions is to practice step (2), Translate, of the five-step problem-solving process. Translate each word problem to an equation or a system of equations and select a correct translation from equations A–O.

A. $M\left(t\right)=30,000e^{0.207t}$

B. $40x=50\left(x-3\right)$

C. $x^2+{\left(x-10\right)}^2={50}^2$

D. $\frac{8}{x}+\frac{8}{4x}=1$

E. $x+8\%x=500$

F. $\frac{500}{x}+\frac{500}{x-2}=8$

G. $\begin{array}{c}x+y=90,\\ 0.1x+0.25y=16.50\end{array}$

H. $x+\left(x+1\right)+\left(x+2\right)=39$

I. $x+\left(x+8\right)+\frac{4}{5}x=1086$

J. $x+\left(x+2\right)+\left(x+4\right)=39$

K. $M\left(t\right)=20.7e^{30,000t}$

L. $x^2+{\left(x+8\right)}^2=1086$

M. $2x+2\left(x-10\right)=50$

N. $\frac{500}{x}=\frac{500}{x+2}+8$

O. $\begin{array}{c}x+y=90,\\ 0.1x+0.25y=1650\end{array}$

Train Travel. An Amtrak train leaves a station and travels east at 40 mph. Three hours later, a second train leaves on a parallel track traveling east at 50 mph. After what amount of time will the second train overtake the first?