Todd works a minimum of 40 hours per week. He is not allowed, however, to work over 71 hours per week. Each hour that he works over 40 hours is considered overtime. The following equation gives his weekly pay, p(h), as a function of the number of overtime hours, h, that he works.
p(h) = $24.00h + $640.00

Determine the range of p(h).

Question

Todd works a minimum of 40 hours per week. He is not allowed, however, to work over 71 hours per week. Each hour that he works over 40 hours is considered overtime. The following equation gives his weekly pay, p(h), as a function of the number of overtime hours, h, that he works.
p(h) = $24.00h + $640.00

Determine the range of p(h).

vocaloid · Answer

71 hours per week maximum, 40 hours a week minimum
if he works 71 hours, he works 71-40 hours overtime, or 31 hours
if he works 40 hours a week, he works 40-40 hours overtime, or 0 hours

so, the minimum number of overtime hours is 0 and the maximum number of overtime hours is 31

using the equation p(h) = $24.00h + $640.00, substitute 0 for h to find the minimum salary , and substitute 31 for h to find the maximum salary