Answer: See explanation
Step-by-step explanation:
Alyssa starts with $40 and saves $10 each week. This can be written as:
= 40 + 10x
Bill has $24 and saves $12 each week. This can be written as:
= 24 + 12x
where, x = number of weeks
a. Bill will never have more money than Alyssa.
False.
From the 9th week, Bill will have more money than Alyssa. To check goes below.
Alyssa = 40 + 10x = 40 + 10(9) = 40 + 90 =$130
Bill = 24 + 12x = 24 + 12(9) = 24 + 108 = $132
b. Bill's savings can be represented by the equation = 12 + 24 where x is the number of weeks and y is his savings.
False.
Bill savings can be represented by:
= 24 + 12x
where, x = number of weeks
c. Alyssa and Bill will have the same amount of money at Week 6.
False.
Alyssa = 40 + 10x
= 40 + 10(6)
= 40 + 60
= $100
Bill = 24 + 12x
= 24 + 12(6)
= 24 + 72
= $96
