Answer to Question #194815 in Algebra for Noran

Question

1. A sales company reimburses its staff for travel expenses.

The graph below shows the amount reimbursed per km travelled.

(a) Find the equation of the line stating the meaning of any letters used.

(b) Interpret the meaning of the y intercept and the gradient.

(c) Are there any practical limitations to the model given by the equation you have found?

Answer 1

(a) y=mx+b

y=the dependent variable on vertical axis.

m=slope of the line.

x=independent variable on horizontal axis.

b=y intercept.

(b)y intercept

When x=0 the corresponding y value is the y intercept.

The gradient is the slope of the line . It shows how steep the line is.

(c) Yes. The equation without y term cannot fit in this form and has to be treated separately.