Solving Linear Word Problems

Front

What is the y-intercept in the equation y = -4x - 5?

Back

-5

Front

If a startup fee is $20 and a monthly fee is $5, what is the total cost after 17 months?

Back

$105

Front

Write the equation in slope-intercept form for a total cost of $20 startup fee and $5 monthly fee.

Back

y = 5x + 20

Front

What is the equation representing the cost of renting a canoe for x hours with a $20 transportation fee and $30 per hour?

Back

y = 30x + 20

Front

Write the equation for a bike rental that costs $4 plus $1.50 per hour in slope-intercept form.

Back

y = 1.50x + 4

Front

What does the slope represent in a linear equation?

Back

The rate of change or how much y changes for a unit change in x.

Front

What is the definition of a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the term 'slope-intercept form' refer to?

Back

A way of writing linear equations as y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

Substitute the number of units (x) into the equation to find y, the total cost.

Front

What is the meaning of the term 'intercept' in a graph?

Back

The point where the line crosses the x-axis or y-axis.