y=mx+b

Front

What does the equation y=mx+b represent in a linear function?

Back

In the equation y=mx+b, 'm' represents the slope of the line, which indicates the rate of change, and 'b' represents the y-intercept, which is the value of y when x is 0.

Front

How do you determine the slope from a linear equation?

Back

The slope 'm' can be determined from the equation y=mx+b by identifying the coefficient of x.

Front

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

Back

The y-intercept 'b' is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

How can you model a situation where a fixed cost is added to a variable cost?

Back

You can model this situation using the equation y=mx+b, where 'm' is the variable cost per unit and 'b' is the fixed cost.

Front

What is the formula to calculate total cost when there is a base fee and a variable charge?

Back

The total cost can be calculated using the formula y=mx+b, where 'm' is the variable charge per unit and 'b' is the base fee.

Front

In the context of a speeding ticket, how is the total fine calculated?

Back

The total fine can be modeled by the equation y=10x+115, where 'x' is the number of miles per hour over the speed limit.

Front

How does depreciation affect the value of an asset over time?

Back

Depreciation reduces the value of an asset by a fixed amount each year, which can be modeled by the equation y=-2000x+25000.

Front

What is the equation for the total cost of a pizza with additional toppings?

Back

The total cost can be modeled by the equation y=0.50x+8, where 'x' is the number of additional toppings.

Front

How do you calculate the total charge for a service that includes a base fee and hourly rate?

Back

The total charge can be calculated using the equation y=15x+40, where 'x' is the number of hours worked.

Front

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

Back

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