Question

What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options. Positive slope negative slope constant slope increasing function decreasing function.

Answer 1

The relationship between the number of balloons remaining and the number of hats created is 5x + y = 500.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Describe the line representing the relationship between the number of balloons remaining and the number of hats created.

The points are (0, 500) and (100, 0).

Let y be the relationship between the number of balloons remaining and x be the number of hats created.

Then the relation is given as

$\rm y = mx +c$

The line passing through (0, 500). Then

$\rm 500 = m(0) +c\\\\c \ \ \ =500$

Then the equation will be

$\rm y = mx + 500$

The line passing through (100, 0). Then

$\rm 0 = 100m + 500\\\\m = -5$

Thus, the equation of a line is 5x + y = 500.

More about the Linear system link is given below.

https://brainly.com/question/20379472