Question

Paul uses the equation y=8x+40 to model the situation.

What does the number 40 represent in this equation? Be sure to explain using a complete thought!

Answer 1

The point 40 refers to the y-intercept of the linear model

Explanation:

Looking at the equation, we can conclude that it is the equation of a straight line or a linear equation.

What this means is that it follows the general form of the equation of a straight line which is

y = mx + c

where m is the slope and c refers to the y-intercept

when we say the y-intercept, we mean the point at which the straight line plot crosses the y-axis at which x = 0

Extrapolating this, we mean the term 40 in the model refers to the y-intercept of the given linear equation

it is at the point 40 that the straight line crosses the or touches the y-axis.

Also at this point, the value of x = 0