4.1 Representing Relationships

Front

What is the equation for the total cost (C) to rent a paddle boat for h hours if the rental fee is $15 plus $2 per hour?

Back

C = 2h + 15

Front

If y represents the total cost and x represents the number of items purchased, what is the equation if the cost per item is $21.98?

Back

y = 21.98x

Front

What is the equation that represents a linear relationship where the slope is 5?

Back

y = 5x

Front

If Taylor can write 25 words per minute, how can this relationship be expressed in a statement?

Back

Taylor can write 25 words per minute.

Front

What is the equation for the total cost (y) if the cost per item is $19.25?

Back

y = 19.25x

Front

Define a linear equation.

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope in a linear equation represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x is 0.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the significance of the equation y = mx + b in real-world applications?

Back

It models relationships where one quantity changes at a constant rate with respect to another.