Question

Central High School had five members on their swim team in 2010. Over the next several years, the team increased by an average of 10 members per year. The same school had 35 members in their chorus in 2010. The chorus saw an increase of 5 members per year. Write a system of equations to model this situation, where x represents the number of years since 2010.

Answer 1

Answer:

The system of equations is

$y=10x+5$

$y=5x+35$

Step-by-step explanation:

Let

x -----> the number of years since 2010

y ---> the total members

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem

swim team

The slope is equal to

$m=10\ \frac{members}{year}$

The y-intercept is equal to

$b=5\ members$

substitute

$y=10x+5$ ----> equation A

chorus team

The slope is equal to

$m=5\ \frac{members}{year}$

The y-intercept is equal to

$b=35\ members$

substitute

$y=5x+35$ ----> equation B