SOLUTION: Hourly Wage Your wage is $8.00 per hour plus $0.75 for each unit produced per hour. So, your hourly wage y in terms of the number of units produced x is y = 8 + 0.75x. a. find

Algebra ->  Graphs -> SOLUTION: Hourly Wage Your wage is $8.00 per hour plus $0.75 for each unit produced per hour. So, your hourly wage y in terms of the number of units produced x is y = 8 + 0.75x. a. find       Log On


   

Question 270935: Hourly Wage
Your wage is $8.00 per hour plus $0.75 for each unit produced per hour. So, your hourly wage y in terms of the number of units produced x is y = 8 + 0.75x.
a. find the inverse function. What does each variable in the inverse function represent.
b. Use a graphing utility to graph the funciton and its inverse function.
c. Use the trace feature of a graphing utility to find the hourly wage when 10 units are produced per hour.
d. Use the trace feature of a graphing utility to find the number of units produced when your hourly wage is $22.25.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Your wage is $8.00 per hour plus $0.75 for each unit produced per hour.
So, your hourly wage y in terms of the number of units produced x is y = 8 + 0.75x.
:
a. find the inverse function.
Swap x and y, solve for y
.75y + 8 = x
.75y = x - 8
y = 4%2F3x - 32%2F3 is the inverse
What does each variable in the inverse function represent.
y = the units, x = wage
;
b. Use a graphing utility to graph the function and its inverse function.
Graph both equations, should look like this
+graph%28+300%2C+200%2C+-10%2C+50%2C+-20%2C+50%2C+.75x%2B8%2C+1.33x-10.67%29+
c. Use the trace feature of a graphing utility to find the hourly wage when 10 units are produced per hour.
x = 10; y = 15.50 (use the calculate value function, enter 10)
d. Use the trace feature of a graphing utility to find the number of units produced when your hourly wage is $22.25.
Using the inverse equation x = 22.25; y = 19 units
check this on the original equation