Herman and jackie are saving money to pay for college. herman currently has $15,00 and is working hard to save $1000 per month. jackie only has $12,000 but is saving $1300 per month. in how many months will they haver the same amount of savings? how much will each of them have saved?

Part 1)

Part 2)

Step-by-step explanation:

Let

y ----> the total amount of savings

x ----> the number of months

we know that

The linear equation in slope intercept form is equal to

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

Herman

The slope is equal to

The y-intercept is

substitute

----> equation A

Jackie

The slope is equal to

The y-intercept is

substitute

----> equation B

Part 1) In how many months will they have the same amount of savings?

equate equation A and equation B

solve for x

Part 2) How much will each of them have saved?

substitute the value of x=10 months in any of the equations

equation A

equation B

.

step-by-step explanation:

.

2 equivalent expressions to represent the area of a rectangle and the top is n-3 and the side is 2

area of the rectangle = length * width

given length = n - 3

width = 2

replace it in the area

so area of the rectangle = (n-3) *2

= 2(n-3)

one of the expression is 2(n-3)

to get another expression we distribute 2 inside the parenthesis

2(n-3) is 2n - 6

so another expression is 2n - 6

two equivalent expression are

2(n - 3)   , 2n - 6