Equations in Slope-Intercept Form Word Problems

Front

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

Back

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

Front

What does the slope (m) represent in a real-world context?

Back

The slope represents the rate of change or how much the dependent variable (y) changes for a one-unit increase in the independent variable (x).

Front

What does the y-intercept (b) represent in a real-world context?

Back

The y-intercept represents the value of the dependent variable (y) when the independent variable (x) is zero.

Front

How do you identify the slope and y-intercept from an equation in slope-intercept form?

Back

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

Front

If a cookie costs $3 and there is a $2 boxing fee, what is the equation for the total cost (C) for x cookies?

Back

C = 3x + 2.

Front

A plumber charges $25 for a service call plus $50 per hour. Write the equation for the total cost (C) after h hours.

Back

C = 50h + 25.

Front

What is the total cost equation for renting a canoe with a $20 fee and $30 per hour?

Back

y = 30x + 20.

Front

If Bob saves $40 per month starting with $150, what equation represents his savings after x months?

Back

y = 40x + 150.

Front

Jacob collects 2 hats a week starting with 6 hats. Write the equation for the total number of hats (y) after x weeks.

Back

y = 2x + 6.

Front

What is the first step to write an equation from a word problem?

Back

Identify the fixed costs and the variable costs associated with the situation.