An equation for a house's value is y = 7500x + 125000, where y is the value in dollars and
x is the time in years, starting now.
a) What is the y-intercept of this equation?
b) What does the y-intercept represent?
c) What is the value of the house 2 years from now?
d) At what rate is the house value changing from year to year

9514 1404 393

  a) 125000

  b) the value now

  c) 140000

  d) 7500 per year

Step-by-step explanation:

a) Comparing the equation to slope-intercept form (y = mx+b) we see that the y-intercept (b) is 125000.

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b) We presume that "starting now" means x=0 corresponds to "now." The y-intercept is the value when x=0, so the y-intercept represents the value now.

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c) When x=2, the value is ...

  y = 7500(2) +125000 = 140000

The value of the house is projected to be 140000 two years from now.

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d) The coefficient of x being 7500 means the value will increase 7500 each year.

step-by-step explanation: