You have $50 in your savings account that you will use to buy the laptop.
You recently got a part-time job working in your favorite store in the mall. It pays $7.50 per hour but on Sundays, you get paid time and a half.
The time that you work are as follows:
Work Schedule
Day Hours
Monday 3:30-5:00pm
Tuesday 4:00-5:00pm
Wednesday 3:00-6:00pm
Thursday Off
Friday 6:30-9:00pm
Saturday 1:30-5:30pm
Sunday 12:00-4:00pm
(1) Write an equation to represent the amount of money you will earn in "w" weeks to buy your laptop.
(2) Deterine the number of weeks you will have to work in ordr to buy the laptop.
You must include a valid method to show how you solved the equation. Some options include, but are not limited to:
Flowchart
Balance Method
Input/output Chart
Guess and Check (you must have at least 3 guesses)
(3) Explain how your answer would change if you did not earn time anda half on Sundays. Use math facts to support your explanation.
So we need to earn $700 to buy the laptop.
From monday to saturday we earn at the rate of $7.5/hour.On sunday we earn at the rate of 1.5
7.5=$11.25/hour.
Lets calculate the weekly earning first.
Monday 1.5
7.5=$11.25
Tuesday 1
7.5=$7.5
Wednesday 3
7.5=$22.5
Thursday off
Friday 2.5
7.5=$18.75
Saturday 4
7.5=$30
Sunday 4
11.25=$45
Total earning in a week= 11.25+7.50+22.50+18.75+30.00+45.00=$135
In w weeks we'll earn 135
w=$135w
So the required equationn is 135w=$700
(2)To calculate the number of weeks we'll have to work in order to buy the laptop we have to solve the equation 135w=$700
Dividing both sides by 135 we get w=5.18 weeks
(3) If we didn't earn 1.5 times on sunday then sunday earnings will be equal to 4
7.5=30
So total weekly earning=$120
Suppose we have to work for w weeks then 120w=$700
Dividing both sides by 120 we get w=5.83 weeks