4-2 Slope-Intercept Word Problems

Front

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

Back

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

Front

How do you determine the slope from a word problem?

Back

The slope represents the rate of change in the context of the problem, often described as 'per unit' (e.g., dollars per hour).

Front

What does the y-intercept represent in a real-world scenario?

Back

The y-intercept represents the starting value or initial condition before any changes occur.

Front

In the equation y = 15x + 20, what does the 15 represent?

Back

The 15 represents the hourly rate of pay in dollars.

Front

In the equation y = 10x - 400, what does the -400 represent?

Back

The -400 represents the initial debt owed for the computer.

Front

What is the significance of the variable x in the equation P(x) = 8600 - 22x?

Back

In this equation, x represents the number of hours worked per week.

Front

How do you calculate the commission earned from the equation C(x) = 4n - 10?

Back

Substitute n with the number of items sold into the equation to find the commission.

Front

If a sales representative sells 30 items, how do you find their commission using C(x)?

Back

C(30) = 4(30) - 10 = 120 - 10 = 110, so the commission is $110.

Front

What does the equation D = 280 - 59t represent in a distance problem?

Back

D represents the distance from Buffalo after t hours, with 59 being the speed of the car.

Front

How do you interpret the coefficient of t in the equation D = 280 - 59t?

Back

The coefficient 59 represents the speed of the car in miles per hour.