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

We are given the value of the function at 0 is 3.

Therefore, we can make a coordinate of the function (0,3) and it represents y-intercept =3.

We are given dependent variable increases 1 unit for every 5 units the independent variable.

x is the independent variable and y is the dependent variable.

Therefore, for every 1 unit increase in y there is an increment of 5 units of x.

Therefore, we can say slope rise/run = 1/5.

Now, we would plug y-intercept =3 on the graph first and then plot some more points using rise/run = 1/5.

Answer 2

The function is an illustration of a linear function.

See attachment for the graph of $\mathbf{h(x) =-\frac{1}{5}x + 3}$

Let the independent variable be x

The highlights are given as:

• The value of the function at 0 is 3. i.e. h(0) = 3
• When the independent variable decreases by 5 (i.e. -5), the independent variable increases by 1. So, the slope (m) is -1/5

From the above highlights, we have:

$\mathbf{m = -\frac{1}{5}}$ --- the slope

$\mathbf{b = 3}$ --- the y-intercept

A linear equation is represented as:

$\mathbf{h(x) =mx + b}$

So, we have:

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

See attachment for the graph of $\mathbf{h(x) =-\frac{1}{5}x + 3}$

Read more about linear functions at:

https://brainly.com/question/20286983