Bob Michaels purchased a house 8 years ago for $42,000 ( surely not in this our area) . This year it was appreciated $67,000. (Real Estate...

8. Bob Michaels purchased a house 8 years ago for $42,000 (surely not in this our area). This year it was appreciated $67,000. )

a.     A linear equation V = mt + b,  , represents the value V of the house for 15 years after it was purchased. Determine m and b and the value of the house 15 years after it was purchased.

b.     Write and solve an equation algebraically to determine how many years after the purchase this house will be worth $80,250.