Find the equation x = at + b that fits the following data.
A) x = 20t − 80
B) x = −20t + 80
C) x = 40t + 80
D) x = −40t + 20

Question

Find the equation x = at + b that fits the following data. 
A) x = 20t − 80 
B) x = −20t + 80 
C) x = 40t + 80 
D) x = −40t + 20

Quizplus · Accepted Answer

To find the equation x = at + b, we need to find the values of a and b.

We can start by looking at the slope of the line, which is given by the coefficient of t in the equation.

From the data, we can see that when t increases by 1, x decreases by 20. This means that the slope of the line is -20.

Now we need to find the y-intercept, which is the value of x when t = 0.

From the data, we can see that when t = 4, x = 80. This means that the y-intercept is 80.

Putting it all together, we get:

x = -20t + 80

Therefore, the best choice is B.

Find the Equation X = at + B That Fits