Question

1. the graph shows the linear relationship between the maximum area in square feet that can be painted and the number of gallons of paint used.

paint coverage
graph of a line with x-axis labeled number of gallons of paint and y-axis labeled area painted (ft²)
what is the rate of change of the area painted with respect to the number of gallons of paint used?
rate of change =

1. a student worked minutes. the graph s workout as a linear fu

graph of a line with x-axis labeled minutes and y-axis labeled percentage remaining
what is the rate of chan respect to the minutes?
rate of change =

1. write the equation of a line going through the point (7, 8) with a slope of zero: (hoy/vux)

equation:

1. write the equation of a line going through the point (3, 2) and has an undefined slope. (hoy/vux)

equation:

Explanation:

Problem 3

Step1: Identify two points on the line

The graph passes through (0, 0) and (1, 400) (or other points like (2, 800), etc.). Let's use (0, 0) and (1, 400).

Step2: Calculate the slope (rate of change)

The formula for slope (rate of change) is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Substituting the points: $m = \frac{400 - 0}{1 - 0} = 400$.

Step1: Recall the equation of a horizontal line

A line with slope 0 is a horizontal line. The equation of a horizontal line is $y = k$, where $k$ is the y - coordinate of any point on the line.

Step2: Substitute the point (7, 8)

Since the point (7, 8) is on the line, $k = 8$. So the equation is $y = 8$.

Step1: Recall the equation of a vertical line

A line with an undefined slope is a vertical line. The equation of a vertical line is $x = k$, where $k$ is the x - coordinate of any point on the line.

Step2: Substitute the point (3, 2)

Since the point (3, 2) is on the line, $k = 3$. So the equation is $x = 3$.

Answer:

400 square feet per gallon

Problem 5