The answer is h = 0.4t
A linear function is a function in the form of:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
We can use the data in the table to find the relationship between the time (t) and height (h)
Let us use the format (height, time). Hence from the table, we have the points:
(4, 10), (8, 20), (12, 30) and (16,40). Using any two points, in this case (4, 10) and (16,40), we can apply the formula:
[tex]h-h_1=\frac{h_2-h_1}{t_2-t_1} (t-t_1)\\\\h-4=\frac{16-4}{40-10} (t-10)\\\\h-4=0.4(t-10)\\\\h-4=0.4t-4\\\\h = 0.4t[/tex]
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