Grandpa Ernie is shrinking! Over the past 444 years, his height decreased by a total of 2.4 \text{ cm}2.4 cm2, point, 4, start text, space, c, m, end text. It decreased by the same amount each year. What was the change in Grandpa Ernie's height each year?

Given:

Over the past 4 years, Grandpa Ernie's height decreased by a total of 2.4 cm.

It decreased by the same amount each year.

To find:

The change in Grandpa Ernie's height each year.

Solution:

Total change in Grandpa Ernie's height in past 4 years = -2.4 cm

Here, negative sign represents the decrease in height.

It decreased by the same amount each year.

So, change in each year is

Therefore, the change in Grandpa Ernie's height each year is -0.6 cm. It means, the Grandpa Ernie's height decreased by 0.6 cm each year.

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)