Daniel is playing his favorite video game and noticed that the points he earned every minutes follow a linear pattern. Here is a table showing his total points for the first several minutes of play.

Minutes:x. Points: f(x)
0. 1550
1. 1900
2. 2250
3. 2600
4. 2950

1. Write a function that represents this scenario.
My answer is f(x) =1550x

2. After 10 minutes, how many points will he have?
My answer is 15500

3. If Daniel has 12,050 points, how many minutes has he been playing?
My answer is 7 minutes.

3 answers

Oh my, it says linear which means of form
f(x) = m x + b
You assumed that it wnnt through zero but it goes through
(0,1550)
so in fact it is of form
f(x) = m x + 1550
where m is the slope
slope = (2950-1550)/4 = 350
so I get
f(x) = 350 x + 1550

Thanks Damon.

You are welcome.