Linear Applications Practice FA

Front

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

Back

C = 2h + 15

Front

If Bob has $150 in his savings account and saves $40 per month, what equation represents the amount he has after x months?

Back

y = 40x + 150

Front

What is the equation for Juanita's monthly cell phone bill (C) if the company charges $15.00 per month plus $0.20 per minute of airtime usage?

Back

C = 0.20x + 15

Front

What equation represents a man's descent from a height of 100 feet at a rate of 30 feet per minute?

Back

y = 100 - 30x

Front

In the equation y = 1.5x + 20, what does the y-intercept (20) represent?

Back

The entrance fee

Front

Define a linear equation.

Back

An equation that models a straight line, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope in a linear equation represent?

Back

The rate of change of the dependent variable with respect to the independent variable.

Front

What is the y-intercept in a linear equation?

Back

The value of y when x is 0; it represents the starting point of the linear relationship.

Front

How do you determine the total cost from a linear cost equation?

Back

Substitute the value of the variable (e.g., hours or rides) into the equation.

Front

What is the significance of the constant term in a linear equation?

Back

It represents the fixed cost or starting value when the variable is zero.