Linear Function Word Problems + some review

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function. It indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the starting value in a linear function context?

Back

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

Front

If a linear function is given as y = 2x + 3, what is the slope?

Back

The slope is 2.

Front

How do you interpret the equation y = 1.5x + 20 in a real-world context?

Back

In this equation, y represents the total cost, x represents the number of rides, 1.5 is the cost per ride, and 20 is the initial fee.

Front

What is the formula to calculate total cost if you know the number of items and the cost per item?

Back

Total Cost = (Cost per Item) * (Number of Items) + Fixed Costs.

Front

If Bob saves $40 per month, how can this be represented as a linear function?

Back

The function can be represented as y = 40x + 150, where y is the total savings after x months.

Front

How do you determine which option is a better deal in a word problem?

Back

Calculate the total cost for each option based on the given conditions and compare the results.