y=mx+b word problems

Front

What does the variable 'b' represent in the equation y=mx+b?

Back

The variable 'b' represents the initial value or y-intercept of the line.

Front

Write the equation for Ted's Taxi service that charges a $5 pick up fee plus $2 per mile.

Back

y = 2x + 5, where y is the total cost and x is the number of miles.

Front

What is the equation for a plumber who charges $25 for a service call plus $50 per hour?

Back

C = 50h + 25, where C is the total cost and h is the number of hours.

Front

What does the variable 'm' represent in the equation y=mx+b?

Back

The variable 'm' represents the rate of change or slope of the line.

Front

Identify the slope and y-intercept from the equation y=76x + 0.

Back

Slope (m) = 76, y-intercept (b) = 0.

Front

What is the slope in the equation y = 2x + 5?

Back

The slope (m) is 2.

Front

What is the y-intercept in the equation y = 2x + 5?

Back

The y-intercept (b) is 5.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

How do you find the total cost if the rate per mile is $3 and the initial fee is $10?

Back

The equation is y = 3x + 10, where y is the total cost and x is the number of miles.