Williamschouwburgidn
Answered

From science to arts, IDNLearn.com has the answers to all your questions. Our experts provide accurate and detailed responses to help you navigate any topic or issue with confidence.

The table below shows the depth of water in a bathtub as it is being filled over time. The data can be modeled by a linear equation where x is the elapsed time in minutes and y is the depth of the water in inches. What does the y-intercept of the linear equation that models the data indicate?

The Table Below Shows The Depth Of Water In A Bathtub As It Is Being Filled Over Time The Data Can Be Modeled By A Linear Equation Where X Is The Elapsed Time I class=

Sagot :

The y-intercept of the linear equation that models the data indicates that:

There was 1 inch of water on the tub when the water was turned on.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, when x changes by 1, y changes by 2, hence the slope is of 2. Hence, since when x = 1, y = 3, when x = 0, y = 3 - 2 = 1, which means that the y-intercept is of 1, and the correct interpretation is:

There was 1 inch of water on the tub when the water was turned on.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.