Part-Time Job in the summer for an ice cream store [Assignment]

Question

You have a part time job for an ice cream job.

week 1: 20 hours worked

week 2: 15.5 hours worked

week 3: 17 hours worked

week 4: 22.5 hours worked

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

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.

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.

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

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

Answer 1

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