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 of the form x = at + b, we need to first find the value of a and b using the given data. From the data, we can see that when t = 0, x = 20. This means that b = 20. Now let's look at the other data points.

When t = 1, x = 55 
When t = 2, x = 90 
When t = 3, x = 125

We can see that for each unit increase in t, x increases by 35. This means that a = 35. Therefore, the equation that fits the data is x = 35t + 20, which is choice B.

Find the Equation X = at + B That Fits