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Need help on an algebra question i have please?

Algebra
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y = 8+0.75x

a.) Find the inverse of the function (it is supposed to be in a " f^-1(x)= " equation)

b.) Find the hourly wage if 12 units are produced per hour. Answer in units of dollars/hr

c.) Find the # of units produced when your hourly wage is $32.48

Feb 15th, 2015

a)  to find the inverse we switch the x and y and solve for y:

x = 8 + 0.75y

0.75y = x - 8

y = 1.33x + 10.67

f^-1(x) = 1.33x + 10.67

b) y = 8 + .75(12) = 8+9 = $15 / hr

c) 32.48 = .75x + 8

.75x = 32.48 - 8 = 24.48

x = 24.48/.75 = 32.64 units / hr


Feb 15th, 2015

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Feb 15th, 2015
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