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Kimberly Gaugh
Q.)  You want tobuy a laptop that costs $750. Your parrent/guardian told you that you must earn the money to buy it.

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.

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Posted In Mathematics  -  1 Answers
 
Anadn Tripathi
Ans.1)  (1) We need $750 and we have $50 in savings account.

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 1.57.5=$11.25/hour.

Lets calculate the weekly earning first.

Monday   1.57.5=$11.25

Tuesday   1 7.5=$7.5

Wednesday 37.5=$22.5

Thursday      off

Friday         2.5 7.5=$18.75

Saturday     47.5=$30

Sunday        411.25=$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 135w=$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 47.5=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