Algebra Modeling Linear Functions Review

Front

What does the Direct Variation Equation look like?

Back

y = kx

Front

Is the graph linear, exponential or neither?

Back

Linear

Front

Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.

Back

3x + 15 = 99 and 28 movies

Front

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded. Write a linear equation that could be used to find how many songs he downloaded.

Back

y = 0.95x + 7.95

Front

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.

Back

c = 2.75b + 4

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What is the difference between direct variation and linear functions?

Back

Direct variation has a constant ratio (y = kx), while linear functions can have a constant slope (y = mx + b).

Front

What is a linear function?

Back

A function that graphs to a straight line, defined by the equation y = mx + b.