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

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)