Answer:
Part A - 17 full weeks
Part B - 8 hours and 30 minutes
Step-by-step explanation:
Key skills needed: Rate of change, Equation Creating & Solving
PART A
1) We need to make an equation for the amount of money Patrick saves each week. He earns $6.00 and then spends $2.00
Since he saves the rest, the amount of money he saves each week is
---> $6.00 - $2.00 = $6 - $2 = $4
2) Since Patrick saves $4 a week, let's say that the number of weeks is "[tex]w[/tex]"
Since the game costs $68 we can make the equation
--> [tex]4w = 68[/tex]
4 is the money he saves each week.
w is the number of weeks he saves
68 is the cost of the game
3) Divide by 4 on both sides and you will get --> [tex]w = 17[/tex]
(68 divided by 4 is equal to 17)
Therefore 17 full weeks is your answer.
Part B
1) Patrick earns 4 dollars for each lawn mowed. Each lawn takes 30 minutes to mow.
30 minutes is half an hour ---> This means that for each hour he would be making $8 (since $4 x 2 = $8)
2) So if we say the number of hours is "[tex]h[/tex]", the equation we can make is
---> [tex]8h = 68[/tex]
8 is the money he makes per hour
h is the number of hours he mows the lawns
68 is the cost of the game he wants to buy for his friend
3) Divide both sides by 8 and you will get
--> [tex]h = 8.5[/tex]
(68 divided by 8 is 8.5 (8 and a half))
This means that he needs to mow lawns for 8.5 hours in order to buy the video game for his friend.
8.5 hours is the same as 8 hours and 30 minutes, which is the answer.
Hope you understand and have a nice day!! :D
