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Question 1 Multiple Choice Worth 2 points)
(06.04 MC)
The speed of a passenger train that is traveling at an initial speed of 14 feet per second and continues to accelerate can be modeled by the function: y = 142. A
second train that is 1,200 feet ahead of the first train is traveling at a constant speed of 149 feet per second and can be modeled by the function: y = 149t + 1200
Solve the system of equations. Which solution represents a viable time that the trains are side by side?
O 14 seconds
O 15 seconds
O 16 seconds
O 17 seconds

Respuesta :

Using a system of equations, it is found that the trains will be side by side in 15 seconds.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

[tex]y_1 = 229t[/tex]

[tex]y_2 = 149t + 1200[/tex]

They will be side-by-side when:

[tex]y_1 = y_2[/tex]

Hence:

[tex]229t = 149t + 1200[/tex]

[tex]80t = 1200[/tex]

[tex]t = \frac{1200}{80}[/tex]

[tex]t = 15[/tex]


The trains will be side by side in 15 seconds.

More can be learned about system of equations at https://brainly.com/question/24342899

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