The price of products may increase due to inflation and decrease due to depreciation. derek is studying the change in the price of two products, a and b, over time. the price f(x), in dollars, of product a after x years is represented by the function below: f(x) = 72(1.25)x part a: is the price of product a increasing or decreasing and by what percentage per year? justify your answer. (5 points) part b: the table below shows the price f(t), in dollars, of product b after t years: t (number of years) 1 2 3 4 f(t) (price in dollars) 65 84.5 109.85 142.81 which product recorded a greater percentage change in price over the previous year? justify your answer. (5 points)

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is