y=mx+b 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

In the equation y = mx + b, what does 'b' represent?

Back

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

Front

How do you write an equation for total cost if there is a fixed cost and a variable cost per unit?

Back

The equation is y = fixed cost + (variable cost per unit * number of units).

Front

If a car depreciates in value, how can you express its value over time?

Back

You can express it as y = initial value - (depreciation rate * number of years).

Front

What does the variable 'x' typically represent in a linear equation?

Back

In a linear equation, 'x' usually represents the independent variable or the input value.

Front

Write an equation for the total cost of renting a snowboard for x hours, given a rental fee and hourly rate.

Back

y = 25 + 15x, where 25 is the rental fee and 15 is the hourly rate.

Front

What is the meaning of the slope 'm' in the equation y = mx + b?

Back

The slope 'm' represents the rate of change of y with respect to x.

Front

How can you find the total cost for a banquet with a fixed cost and a cost per person?

Back

The equation is y = 95 + 15x, where 95 is the fixed cost and 15 is the cost per person.

Front

If Mrs. Curren runs for 20 minutes each day, how do you express her total running time after x days?

Back

y = 20x + 140, where 140 is the initial time already run.

Front

What is the equation for a car's value after x years if it starts at $25,000 and depreciates $2,000 per year?

Back

y = -2000x + 25000.