Study

Exponential Growth and Decay

  •   0%
  •  0     0     0

  • The home whose value is modeled by the equation below was purchased in 1998. How much will the house be worth this year (2023)?
    $3496.47
  • If the savings account modeled by the equation shown was opened in 2010, how much would it be worth in 2035?
    $42,461.08
  • The value of a home is modeled by the following equation. What is the rate at which it is losing value?
    15.7%
  • Simplify completely
    3[sqrt(6)]
  • A population of a city is 422,000 and increases by 12% each year. What is the population after 8 years?
    1,044,856 People
  • Simplify completely
    10m^2[sqrt(2n)]
  • What is the equation of the asymptote?
    y = -4
  • Is the following Growth or Decay?
    Growth
  • Given the sequence {-2, 6, -18, …}, write a rule and find the 8th term.
    y = -2(3^n-1); 4374
  • Is the graph growth or decay?
    Decay
  • Scott purchased a painting in 2006 for $1,250. Since then, its value has increased by 6% each year. How much will the painting be worth in 2017?
    $2372.87
  • What is the value of "a"?
    0.5 or 1/2
  • A car bought for $13,000 depreciates at 15% per year. What will the car be worth in 5 years?
    $5678.17
  • A savings account is modeled by the following equation. At what rate is the account incurring interest?
    13%
  • Given the sequence {6144, 3072, 1536, …} write the rule and find the fifteenth term.
    6144[0.5^(n-1)]; 0.375