Based on the given table, it seems that there is a constant difference between the y-values and the x-values remain unchanged. This pattern suggests that a linear function best models the data.
To find the equation of the linear function, we can calculate the slope (m) and the y-intercept (b).
Using the first two data points (-8, 55.56) and (-7, 49.56), we can calculate the slope using the formula:
m = (change in y) / (change in x)
= (49.56 - 55.56) / (-7 - (-8))
= (-6) / 1
= -6
Next, we can substitute one of the data points into the slope-intercept form of a linear equation (y = mx + b) to solve for b.
49.56 = -6(-7) + b
49.56 = 42 + b
b = 49.56 - 42
b = 7.56
Therefore, the equation that models the data is:
y = -6x + 7.56
Look at this table:
x y
–
8 55.56
–
7 49.56
–
6 43.56
–
5 37.56
–
4 31.56
Write a linear function (y=mx+b) or an exponential function (y=a(b)x) that models the data.
y=
1 answer