Astronomers have observed that sunspots vary sinusoidally. The variation is from a minimum of about 10 sunspots per
year to a maximum of about 120 per year. A cycle lasts
about 11 years. If a minimum occurred in 1964, which
function could model the number of sunspots, S, as a
function of the year, t?
O
S(t) = -55 cos
21
(t - 1964) + 65
11
O
S(t) = -65 cos
21
-- 1964
11
+ 55
S(t) = -55 cos
21
1 - 1964
11
+ 65
O
S(I) = -65 cos
210
(t - 1964)
11
1964)) +
+ 55

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

35-60 students are taking math.

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