Vanessa has $200 in her savings account and just received $30 for her birthday. She intends
to spend all of her money on coffee. She spends
$3.50 on coffee every day. Write an equation
that can be used to find the amount of money she
has left after x days.

y = -3.5x + 230

Step-by-step explanation:

Find how much money she has now:

200 + 30 = $230

To create an equation to find how much money she has left, let y represent the amount of money left, and x represent the number of days.

Coffee will cost $3.50 every day, so 3.5x will represent all of the money that she will spend on coffee.

The amount of money she has left will be represented by 230 - 3.5x.

Rearrange this to put x in front, and let this equal to y to create the equation:

y = -3.5x + 230

So, the equation that can be used to find how much money she has left is y = -3.5x + 230

Step-by-step explanation:

(200+30)÷3.50=65.714

65×3.50=227.5

230-227.5=2.5

so after 65 one would have 2.50 left over

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !