Answer
$y = 1.5cos(.785x\pm.628 t)$
Work Step by Step
We know the following equation:
$y = Acos(kx\pm\omega t)$
We need to find all of the missing variables.
A: We see that the the mins and maxes are at 1.5, so this is the value of A.
k: We find: $k =\frac{2\pi}{8}=.785$
$\omega$: We see that a whole wave is completed in 10 seconds, so this is the period. This means: $\omega= \frac{2\pi}{10}=.628$
Thus, we find:
$y = 1.5cos(.785x\pm.628 t)$
