FOM1 Slope Intercept 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

How do you calculate the average rate of change between two points?

Back

The average rate of change is calculated by (change in y) / (change in x).

Front

If a climber is at 400 feet after 2 hours and 700 feet after 6 hours, what is the average rate of change?

Back

The average rate of change is 75 feet per hour.

Front

What does the variable 'n' represent in the equation C(x) = 4n - 10?

Back

In this equation, 'n' represents the number of items sold.

Front

How do you find the commission earned if 30 items are sold using the equation C(x) = 4n - 10?

Back

Substituting n = 30 gives C(30) = 4(30) - 10 = 110.

Front

What is the meaning of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x = 0, representing the starting point of the line.

Front

Write the equation for Quinn's gas usage problem: 14 gallons, 2 gallons per hour.

Back

y = 14 - 2x.

Front

What does the variable 'x' represent in the equation y = 14 - 2x?

Back

In this equation, 'x' represents the number of hours that have passed.

Front

Write the equation for Olivia's running problem: 4 miles already run, 1 mile per hour.

Back

y = x + 4.

Front

What does the variable 'y' represent in the equation y = x + 4?

Back

In this equation, 'y' represents the total miles run after x hours.