Question

Graph the function with the given description. A linear function h models a relationship in which the dependent variable increases 1 unit for every 5 units the independent variable decreases. The value of the function at 0 is 3.

Answer 1

Let's assume

independent variable is x

dependent variable is h

A linear function h models a relationship in which the dependent variable increases 1 unit for every 5 units the independent variable decreases.

so, we can use formula of linear function

$h=mx+b$

where

m is slope

$m=-\frac{1}{5}$

now, we can plug values

$h=-\frac{1}{5}x+b$

The value of the function at 0 is 3

so, at x=0 , h=3

we can use it and find b

$3=-\frac{1}{5}*0+b$

$b=3$

now, we can plug back

$h=-\frac{1}{5}x+3$

now, we can draw graph

Graph: