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.

The true statement is,

The rate at which the balance of Account A grows is greater than the rate at which the balance of Account B grows.

Step-by-step explanation:

Given inequalities that represents the amount in two different account,

Account A: y ≥ 1.13x+1000,

Account B: y ≥ 1.08x+1000,

Since, the amount of an investment represents by the linear equation,

y = ax + b

Where,

b = invested amount,

a = amount of interest per period,

x = number of periods,

Since, related equation of inequality y ≥ 1.13x+1000,

y = 1.13x+1000,

i.e invested amount = 1000, interest per year = 1.13,

Similarly, related equation of inequality y≥1.08x+1000,

y = 1.08x+1000,

i.e invested amount = 1000, interest per year = 1.08,

⇒ Sally initially invests same money into Account A than Account B

⇒ Sally invests a total of $2000 into the two accounts.

Now, 1.08 < 1.13

∵ interest ∝ rate × time,

Hence, the rate at which the balance of Account A grows is greater than the rate at which the balance of Account B grows.

i can answer this question sweetie!

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is