Question

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​

Answer 1

9514 1404 393

Answer:

a) 125000

b) the value now

c) 140000

d) 7500 per year

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.