An employee has two options for positions in A LARGE corporation One position pa

Question

An employee has two options for positions in A LARGE corporation One position pays $12.50 per hour plus an additional unit late of $0.75 per unit produced The other pays $9 20 per hour plus a unit rate of $1.30. Find linear equations for hourly wages W in terms of x. the number of units produced per hour, for each of the options. Algebraically, find the point of intersection. Interpret the meaning of the point of intersection. How would you use this information to select the correct option if the goal were to obtain the highest hourly wage?

Explanation / Answer

a) W= 12.50 +0.75 x W= 9.20 +1.30 x b) 12.50 +.75 x =9.20 +1.30 x 3.30 = .55x x= 3.30/.55= 6 c) The intersection x =6 means the point where the second equation (9.20 +1.30 x) begins paying a higher hourly wage than the first one. So you should pick the first if the units produced per hour are going to be less than 6, the second if they are going to be more than 6.

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