SOLUTION: In 1955, a collectors coin cost $45. Thirty years later, the coin valued $180. What was the average yearly increase in the coins value?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In 1955, a collectors coin cost $45. Thirty years later, the coin valued $180. What was the average yearly increase in the coins value?      Log On


   



Question 830746: In 1955, a collectors coin cost $45. Thirty years later, the coin valued $180. What was the average yearly increase in the coins value?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
---
given:
1955, 45
1985, 180
---
to solve the linear equation, copy and paste this (the two given points):
1955, 45, 1985, 180
into the "Two-Point form: x1 y1 x2 y2" input box here: https://sooeet.com/math/linear-equation-solver.php
---
x-intercept = (1945, 0)
y-intercept = (0, -8752.5)
slope = 4.5
---
the linear model:
v(t) = 4.5t - 8752.5
where:
t = years
v = coin value (dollars)
---
answer:
the average yearly increase in value is the slope of the linear model = $4.50
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php