House Prices This problem gives you the chance to:
• work with graphs and formulas in a real context
In March 2006, a newspaper article reported that houses in Maryland are so expensive that many
people are unable to afford the monthly house payments.
This graph shows the average house price and the average monthly payment for all the different
counties in Maryland.
House Prices and Payments
5000
4000
3000
Average monthly payment/dollars
2000
1000
0+
300000
1.
100000 200000
400000 500000 600000
Average house price/dollars
a What does the pattern of the data indicate about the connection between house prices and
monthly payments?
b. Find the monthly payment for a house costing $450 000.
c Find a formula connecting the average monthly payment with the average house price.

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

anser is a

step-by-step explanation:

negitive slope

step-by-step explanation: