Final answer:
The equation of the linear function that passes through the point (200, 1,600) with a slope of 8 is y = 8x.
Step-by-step explanation:
To write an equation of a linear function that passes through the point (200, 1,600) and has a slope of 8, we can use the point-slope form of a linear equation, which is:
\( y - y_1 = m(x - x_1) \)
Where (x_1, y_1) is a point on the line and m is the slope of the line. Substituting the given point (200, 1,600) and the slope 8 into the formula, it becomes:
\( y - 1,600 = 8(x - 200) \)
Simplify this equation to get the slope-intercept form, y = mx + b, by distributing the 8 and then adding 1,600 to both sides:
\( y - 1,600 = 8x - 1,600 \)
\( y = 8x - 1,600 + 1,600 \)
\( y = 8x \)
Therefore, the equation of the line is y = 8x.