Katherine has $140 in the bank and is saving $6 per week. Abbie has $462 in the bank, but is spending at a rate of $10 per week.
Which equation will determine when they will have the same amount of money in the bank?
140 - 6x = 462 - 10x
140 - 6x = 462 - 10
140 - 10x = 462 - 6x
140 - 6x = 462 + 10%

Step-by-step explanation:

Let

x ----> the number of weeks

y ---> amount of money in the bank

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

Katherine

The slope or unit rate is equal to

The y-intercept or initial value is equal to

The linear equation is equal to

----> equation A

Abbie

The slope or unit rate is equal to

----> is negative because is a decreasing function

The y-intercept or initial value is equal to

The linear equation is equal to

----> equation B

Equate equation A and equation B

Rewrite the terms