Question

HELP!! Which of these linear equations best describes the given model?

Answer 1

Option B:

The linear equation that best describes the model is y = 40x + 800.

Solution:

Take two points which exactly on the line.

Let the points are (0, 800) and (10, 1200).

$x_1=0, y_1=800, x_2=10, y_2=1200$

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{1200-800}{10-0}$

$m=\frac{400}{10}$

m = 40

y-intercept of the line is where the line crosses at y-axis.

y-intercept (b) = 800

Equation of a line:

y = mx + b

y = 40x + 800

The linear equation that best describes the model is y = 40x + 800.

Option B is the correct answer.