Quick Check: Interpreting Slope and Y-intercept

Front

What does the slope represent in a linear function?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable. It indicates how much the output (y) changes for a unit change in the input (x).

Front

In the function f(c) = 2.95c + 6.85, what is the slope?

Back

2.95

Front

In the function f(r) = 1.75r + 5, what is the slope?

Back

1.75

Front

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

Back

The y-intercept is the value of the dependent variable when the independent variable is zero. It represents the starting point of the function on the y-axis.

Front

In the function f(c) = 2.95c + 6.85, what is the y-intercept?

Back

6.85

Front

In the function f(r) = 1.75r + 5, what is the y-intercept?

Back

5

Front

How do you calculate the total cost using the function f(c) = 2.95c + 6.85 for 4 grandchildren?

Back

f(4) = 2.95(4) + 6.85 = 18.65.

Front

If Al spent $19 at the fair, how many rides did he ride if the function is f(r) = 1.75r + 5?

Back

To find r, set the equation: 19 = 1.75r + 5. Solving gives r = 8 rides.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.