Steven C. answered • 05/03/15

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Mathematics Tutor Steven

I'm assuming that since the time value is not specified, that there is 4 questions here instead of a multiple choice question.

To solve this problem, it is best to rearrange the equation to solve t in terms of s.

Algebraic Steps:

1) s-10 = 12*sqrt(4t)

2) (s-10)/12 = sqrt(4t)

3) ((s-10)/12)^2 = 4t

4) (s-10)^2/(144*4) = t

5) (s-10)^2/(576) = t

Substitution of s values:

a) 93/1000 = s;

t = 0.17 weeks

b) s = 586;

t = 576 weeks

c) s = 93;

t = 11.97 weeks

d) s = 0.586;

t = 0.154 weeks

If trying to find the total sales in a season (3 months) then the answer is about $93,000 in sales. Of course, this assumes an initial sales of $10,000 at the start of the month, then modeling a decreasing sales rate. This problem is severely under specified, so I'd try to see if there is information missing somewhere in the problem statement.