Day 76: 8.PFA.3 Practice Connections

Front

What is the equation to find the remaining balance on a gift card after spending a fixed amount each month?

Back

The equation is y = -mx + b, where m is the amount spent each month and b is the initial balance.

Front

If a taxi charges a flat fee plus a per-mile rate, how can you express the total cost in an equation?

Back

The equation is y = mx + b, where m is the per-mile rate and b is the flat fee.

Front

What does the variable 'x' typically represent in equations involving time or usage?

Back

In these contexts, 'x' usually represents the number of months, miles, or minutes used.

Front

How do you determine the total cost of a service that has a base fee and a variable cost per hour?

Back

The total cost can be modeled by the equation y = mx + b, where m is the hourly rate and b is the base fee.

Front

What is the significance of the slope in a linear equation?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the initial value of y when x is zero.

Front

How can you identify a linear relationship from a table of values?

Back

A linear relationship will show a constant rate of change between the x and y values.

Front

What is the equation for a cell phone bill that includes a monthly fee and a per-minute charge?

Back

The equation is C = mx + b, where m is the per-minute charge and b is the monthly fee.

Front

How do you write an equation for a situation where a cost increases by a fixed amount for each additional unit?

Back

The equation is y = mx + b, where m is the fixed increase per unit.

Front

What is the formula for calculating the total cost of a service that charges a flat fee plus a variable rate?

Back

The formula is y = mx + b, where m is the variable rate and b is the flat fee.