Answer:
A = 30m + 35
Step-by-step explanation:
let A be the amount saved and m represent month
Note the difference in the amount saved is constant, that is
185 - 155 = 155 - 125 = 125 - 95 = 95 - 65 = 30
We can express this as
A = 30m + c
To find c use any pair from the table and substitute into the equation
using (3, 125) then
125 = (3 × 30) + c
125 = 90 + c ( subtract 90 from both sides )
c = 125 - 90 = 35, thus
A = 30m + 35 ← linear relationship
As a check
When m = 4, A should be 155
A = (4 × 30) + 35 = 120 + 35 = 155 ← correct
Linear function representing the table is
A(m) = 30m + 35
