Question

Alyssa starts with $40 and saves $10 each week. Bill has $24 and saves $12 each week. For numbers 5a. – 5c., determine whether each statement is True or False. Write "True" or "False" for each statement. a. Bill will never have more money than Alyssa. b. Bill's savings can be represented by the equation = 12 + 24 where x is the number of weeks and y is his savings. c. Alyssa and Bill will have the same amount of money at Week 6.

Answer 1

Answer: See explanation

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