in one year, students said they took 530 total trips. after 5 years , students took a total of 680 total trips.

Question

find an equation that gives the number of vacations ,v, in terms of the year ,n.

Answer 1

Let n = the number years

Let v = the total trips

 

We can plot these numbers as points on a coordinate system.  Use a scale of 1 for the x-axis and use a scale of 150 for the y-axis.  The plots will be in the form P(n, v).

 

1st point is (1, 530)

2nd point is (5, 680)

 

After plotting these points, find the slope and y-intercept. 

 

m = Slope = (y₂ - y₁)/(x₂ - x₁)

 

To find the y-intercept b, connect these two points until you cross the y-axis. 

 

Your equation is:       y = mx+b