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Answer :
Certainly! Let's break down the solution step-by-step.
Sarah has a routine where she follows two activities each week:
1. Babysitting on Friday: Sarah earns [tex]$14 every Friday for babysitting.
2. Going Out on Saturday: Sarah spends $[/tex]10 every Saturday going out with her friends.
We need to determine the sequence of the amounts of money Sarah has at the end of each Friday and each Saturday for five consecutive weeks. The sequence should have 10 terms (one for each Friday and Saturday pair over five weeks).
### Step-by-Step Solution:
- Week 1:
- Friday: Sarah babysits and earns [tex]$14. So, she has $[/tex]14 at the end of the day.
- Saturday: She spends [tex]$10, reducing her total to $[/tex]4.
- Week 2:
- Friday: Sarah again earns [tex]$14 from babysitting. So, she has $[/tex]14.
- Saturday: She spends [tex]$10, leaving her with $[/tex]4.
- Week 3:
- Friday: She earns another [tex]$14 from babysitting, leaving her with $[/tex]14.
- Saturday: After spending [tex]$10, she has $[/tex]4.
- Week 4:
- Friday: Earns [tex]$14 from babysitting, leaving her with $[/tex]14.
- Saturday: Spends [tex]$10, ending up with $[/tex]4.
- Week 5:
- Friday: Earns [tex]$14 from babysitting, having $[/tex]14.
- Saturday: After spending [tex]$10, she retains $[/tex]4.
By following this pattern for five consecutive weeks, we record the amount of money Sarah has at the end of each activity.
So, the complete sequence showing the amounts of money Sarah has at the end of each Friday and each Saturday for five weeks is:
[tex]\[ 14, 4, 14, 4, 14, 4, 14, 4, 14, 4 \][/tex]
Sarah's sequence reflects that after each Friday, she has [tex]$14, and after each Saturday, she has $[/tex]4.
Sarah has a routine where she follows two activities each week:
1. Babysitting on Friday: Sarah earns [tex]$14 every Friday for babysitting.
2. Going Out on Saturday: Sarah spends $[/tex]10 every Saturday going out with her friends.
We need to determine the sequence of the amounts of money Sarah has at the end of each Friday and each Saturday for five consecutive weeks. The sequence should have 10 terms (one for each Friday and Saturday pair over five weeks).
### Step-by-Step Solution:
- Week 1:
- Friday: Sarah babysits and earns [tex]$14. So, she has $[/tex]14 at the end of the day.
- Saturday: She spends [tex]$10, reducing her total to $[/tex]4.
- Week 2:
- Friday: Sarah again earns [tex]$14 from babysitting. So, she has $[/tex]14.
- Saturday: She spends [tex]$10, leaving her with $[/tex]4.
- Week 3:
- Friday: She earns another [tex]$14 from babysitting, leaving her with $[/tex]14.
- Saturday: After spending [tex]$10, she has $[/tex]4.
- Week 4:
- Friday: Earns [tex]$14 from babysitting, leaving her with $[/tex]14.
- Saturday: Spends [tex]$10, ending up with $[/tex]4.
- Week 5:
- Friday: Earns [tex]$14 from babysitting, having $[/tex]14.
- Saturday: After spending [tex]$10, she retains $[/tex]4.
By following this pattern for five consecutive weeks, we record the amount of money Sarah has at the end of each activity.
So, the complete sequence showing the amounts of money Sarah has at the end of each Friday and each Saturday for five weeks is:
[tex]\[ 14, 4, 14, 4, 14, 4, 14, 4, 14, 4 \][/tex]
Sarah's sequence reflects that after each Friday, she has [tex]$14, and after each Saturday, she has $[/tex]4.
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Rewritten by : Batagu
