Sally invested money into two different accounts at the same time. the system of inequalities represents the balance of each account where x represents the number of years the money has been invested.

account a: y≥1.13x+1000

account b: y≥1.08x+1000

what is true in the context of the situation based on the system of inequalities?

select true or false for each statement.

statement true false
sally initially invests more money into account a than account b.

the rate at which the balance of account a grows is greater than the rate at which the balance of account b grows.

sally invests a total of $1000 into the two accounts.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.

look in attachments

step-by-step explanation:

a = (-2, 0)

b= (-4, 0)

c = (-5,2)

d = (-1,2)