Look at this table:
x y
0 6.99
1 4.48
2 1.97
3
–
0.54
4
–
3.05
Write a linear function (y=mx+b) or an exponential function (y=a(b)x) that models the data.
y=
Based on the given table, it can be observed that the values of y are decreasing as x increases. This suggests that the data can be modeled using a linear function, y = mx + b.
To find the equation of the linear function, we can first find the slope (m) and y-intercept (b) using the given data points (0, 6.99) and (1, 4.48):
slope (m) = (4.48 - 6.99) / (1 - 0) = -2.51
Using the slope (m) and one of the data points (0, 6.99), we can solve for the y-intercept (b) using the equation y = mx + b:
6.99 = -2.51(0) + b
b = 6.99
Therefore, the linear function that models the given data is:
y = -2.51x + 6.99