Question

An electrician charges $5 more an hour to work night hours than day hours. At the end of the week, the records showed that electrician worked 32 day hours and 7 night hours. Let x represent the hourly daytime rate.

a) Write an expression (not an equation) that represents the amount of money the electrician made that week from day hours. Express your answer in terms of x only. Do not introduce another variable.

b)Write an expression (not an equation) for the total amount of money the electrician made for the week. Express your answer in terms of x only. Do not introduce another variable. You don't need to simplify your answer.

Answer 1

• a) 32x
• b) 32x + 7(x + 5)

Explanation:

Given

• Daytime rate = x
• Nighttime rate = x + 5
• Day hours = 32
• Night hours = 7

a) Amount of money made for day hours

• 32x

b) Amount of money made for total week

• 32x + 7(x + 5)