Ethem S. answered • 21d

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week 1: 20 hours worked

week 2: 15.5 hours worked

week 3: 17 hours worked

week 4: 22.5 hours worked

>> Total hours worked = 20 + 15.5 + 17 + 22.5 = (20+17) + (15.5+22.5) = 37 + 38 = 75 hours

You earn d dollars per hour. Write and simplify an expression that represents the money you earn in July

>> d * 75

You get a 4% raise at the end of July. Write an additin expression that represents the amount of money you earn per hour. Write a multiplication expression that represents the amount of money you earn per hour.

>> d + d*(4/100) or d*(1+4/100) (4 percent of d is d*4/100)

You work the same number of hours in the month of August. Write and simplify an expression that represents the money you earn in August.

>> 75*(1+4/100)*d = (75+300/100)*d = 78*d

Write and simplify the difference between the amounts of money you earn in July and August.

>> 78*d - 75*d = (78-75)*d = 3*d

You earn $7.50 per hour at the beginning of July. What is the total amount of money you earn by the end of August?Justify your answer

75*d + 78*d = 153*7.5 = 153*(7+0.5) = 1071 + 76.5 = $1147.50