These are graphing equations.

Question 5:

Graph the following non-linear system of equations and identify the two solutions.

y=2x

2

+4x+1

y=2x+1

What type of function is the equationy=2x

2

+4x+1

?

__________

What type of function is the equationy=2x+1

?

__________

Use your graph below to identify the two solutions to this non-linear system of equations.

Note: All solutions to this problem are whole numbers. None of the answers are decimals or fractions.

List the solution, (x,y), with thesmallestx value below.

x=

__________

y=

__________

List the solution, (x,y), with thelargestx value below.

x=

__________

y=

__________

This question is a story problem using a 5 step system.

Question 7:

The local orchestra has been invited to play at a festival. There are 111 members of the orchestra and 6 are licensed to drive large multi-passenger vehicles. Busses hold 25 people but are much more expensive to rent. Passenger vans hold 12 people. make a system of equations to find the smallest number of busses the orchestra can rent.

Let x= the number of busses and y= the number of vans

make an equation representing the number of vehicles needed.

__________

make an equation representing the total number of seats in vehicles for the orchestra members.

__________

Solve the system of equations.

How many busses does the orchestra need to rent?

____________

How many 12-passenger vans does the orchestra need to rent?

____________

Question 9:

Comparing Costs

Garrett and Judy Kay are considering buying a new fridge to replace their older one.

They estimate that their current (older) fridge, which they got for free, costs them about $19 a month in electricity charges to operate. They found a new fridge that costs $1,080 to purchase and would cost only around $6 a month in electricity charges.

The new fridge comes with a 10-year warranty, so they assume the new fridge to last for 10 years without any extra repair or replacement fees.

If they keep their old fridge, then they assume they will need to pay around $160 sometime over the next 10 years in maintenance costs to keep it running.

(For this comparison, assume they set aside the money to maintain the old fridge right at the beginning of the 10 years, even though they probably won't need the money until several years later.)

Letx

represent the number ofmonths. Lety

representtotal costin dollars.

Set up a system of equations that could be used to help Garrett and Judy Kay decide if buying the new fridge is worth it.

Create functions that describe the total cost in dollars for each fridge.

New Fridge Total Cost Function

y=____________x+____________

Old Fridge Total Cost Function

y= ____________x+____________

Use your functions to calculate the total cost for each fridge after6 months.

New Fridge:

____________

(Round to the nearest whole dollar)

Old Fridge:

____________

(Round to the nearest whole dollar)

Use your functions to calculate the total cost for each fridge after10 years.

New Fridge:

____________

(Round to the nearest whole dollar)

Old Fridge:

____________

(Round to the nearest whole dollar)

Athow many monthsis the total cost for each fridge the same?

____________

(Round to one decimal place)

How many years is this?

____________

(Round to one decimal place)

Before this time, the new fridge total cost is

__________

the old fridge.

After this time, the new fridge total cost is

__________