Carmen initially has money in her bank account. Each week she withdraws the same amount of money from her account. Write an equation that relates b, her account balance after w weeks.

Carmen's balance after w weeks will be

Step-by-step explanation:

Let the initial money in Carmen's bank account be = x

Her account balance be denoted with b,

the number of weeks be = w

Let the amount withdrawn per week be = y

After one week, If Carmen withdraws some money, the money left in the account will be

b = x-y

After week two, the money left will be

b = x-y-y

After week three, the money left will be

b= x-y-y-y

We are beginning to notice a trend here, that the amount of money left in the account, is constantly reducing by y every week.

After w weeks, the money taken will be weeks = weeks.

Therefore, Carmen's balance after w weeks will be

the first dot plot best represents the data

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the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is