Writing y=mx+b from verbal descriptions

Front

What does the equation y = mx + b represent?

Back

It represents a linear equation where y is the dependent variable, m is the slope, x is the independent variable, and b is the y-intercept.

Front

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

Back

The slope of the line, indicating how much y changes for a unit change in x.

Front

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

Back

The y-intercept, which is the value of y when x is 0.

Front

How do you identify the slope from a verbal description?

Back

Look for phrases indicating a rate of change, such as 'per person', 'per hour', or 'for each'.

Front

What is the first step to write an equation from a verbal description?

Back

Identify the fixed costs and the variable costs mentioned in the description.

Front

If a meal costs $12.50 per person plus a $30 delivery fee, how would you write the equation?

Back

y = 30 + 12.5x.

Front

What is the equation for a babysitting service that charges $3 plus $5 per hour?

Back

C = 5h + 3.

Front

How do you determine the total cost from a verbal description?

Back

Combine the fixed costs with the variable costs multiplied by the number of units.

Front

What does 'x' typically represent in these equations?

Back

The number of units, such as people, hours, or months.

Front

In the context of a fitness club, if membership increases by 15 members each month, how would you express this?

Back

y = 15x + 80, where 80 is the initial number of members.