Find the equation x = at + b that fits the following data.
A) x = 45 t + 20
B) x = 35 t + 20
C) x = 35 t + 15
D) x = 25 t + 45

Question

Find the equation x = at + b that fits the following data.  
A) x = 45 t + 20 
B) x = 35 t + 20 
C) x = 35 t + 15 
D) x = 25 t + 45

Quizplus · Accepted Answer

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

We can start by finding the slope of the line, which is equal to the coefficient of t in the equation x = at + b.

Using the given data, we can find the slope as follows:

Slope (a) = (change in x) / (change in t) = (370 - 20) / (10 - 0) = 35

Next, we can find the y-intercept by plugging in any given point into the equation x = at + b and solving for b.

Using the first point (0, 20), we get:

20 = 35(0) + b
b = 20

Therefore, the equation that fits the data is:

x = 35t + 20

So, the answer is B.

Find the Equation X = at + B That Fits