Partner Linear vs. Exponential Functions
Explore 2: Which of the following situations would be modeled by linear
functidas? Check all that apply.
Mark's Plumbing Service charges $40 per hour plus a $25 initial fee.
A population of 10 rabbits doubles every year.
Daring a rainstorm in Atlanta, it rained for a steady rate of 0.5 inches each hour.
Lake Apopka had a population of 4000 bass in 2008. The population has been
plecreasing by 4% each year since then.
Randy opens a savings account with $50 and deposits $40 every week.
Hannah opens a savings account with $600 and earns 0.12% interest each month.
Mr. Johnson is draining his pool. It starts with 30,000 gallons and he drains 500 gallons
per hour.

(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

stops on an even number.

a

step-by-step explanation:

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step-by-step explanation:

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