Question

B) The value of the function decreased by ____ per year after 1990

Answer 1

From the question

We are given the function

$y=-0.5x+29$

Comparing the function with the equation

$y=mx+c$

Then the slope of the function is

m = - 0.5

Using the function

$y=-0.5x+29$

When x = 1

$\begin{gathered} y=-0.5(1)+29 \\ y=28.5 \end{gathered}$

When x = 2

$\begin{gathered} y=-0.5(2)+29 \\ y=28 \end{gathered}$

When x = 3

$\begin{gathered} y=-0.5(3)+29 \\ y=27.5 \end{gathered}$

By comparing the values of y, we will notice a decrease of 0.5

Hence,

The value of the function decreased by 0.5 per year after 1990