To rent office space for your business, you must pay a one-time fee of $1000 and pay rent of $800 per month.
a. Write a linear model that represents the total cost of renting office space
as a function of the number of months you will rent.
b. Find the total cost of renting office space for one year.
c. A different building has office space for rent that does not require a
one-time fee, but you must pay rent of $1000 per month. If you have
$15,000, at which building can you rent office space for the greatest
amount of time? Explain.

(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

when the daily mileage is greater than 40 miles, unlimited mileage plan will save you money. 40 miles is the break-even point.

step-by-step explanation:

answer: the actual answer is a. good bank will have the least amount in fees per year.