Answer:
The rate of change in gasoline is 0.2$ per month.
Explanation:
Given that Gas prices have increased steadily from $2.35 per gallon to $3.95 per gallon in 8 months.
Increase 'steadily' means the rate of change is the same throughout the 8 months.
let x represents the time in months, and y represents the gas price
so
at x₁ = 0, y₁ = 2.35
at x₂ = 8, y₂ = 3.95
Let us find the slope or rate of change using the formula
Rate of change = slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3.95 - 2.35] / [8 - 0]
= 1.6 / 8
= 0.2 $ per month
Therefore, the rate of change in gasoline is 0.2$ per month.