Answer:
y = 125x + 75
Step-by-step explanation:
Let x represents the week and
Let y represent the balance
When x = 2, y = 325.
This means
(x1,y1) = (2,325)
When x = 5, y = 700
This means
(x2,y2) = (5,700)
Required
Determine the equation
First, we need to solve for m, the slope
m = ∆y/∆x
i.e.
m = (y2 - y1)/(x2 - x1)
Substitute values for x and y
m = (700 - 325)/(5 - 2)
m = 375/3
m = 125
Next, we calculate the equation in slope intercept form using
y - y1 = m(x - x1)
Substitute values for m, x1 and y1
y - 325 = 125(x - 2)
y - 325 = 125x - 250
Collect like terms
y = 125x - 250 + 325
y = 125x + 75
Hence, the equation is:
y = 125x + 75
