Question

Cost ($), y Months, 0 2 4 6 75 95 115 What is the rate of change for the table? What is the y-intercept for the table? What is the equation that relates the x and y values in the table?

Answer 1

- In order to calculate the rate of change of the data of the given table, use the given formula:

m = (y2 -y1)/(x2 - x1)

where (x1,y1) and (x2,y2) are two pair of values of the table, use the values (0,35) and (2,55):

m = (55 - 35)/(2 - 0)

m = 10

The rate of change of the data is 10.

- The y-intercept of the table is the value of y when x=0. You can notice in the table that y = 35 when x=0, then, the y-intercept is 35.

- The general equation of a linear equation is given by:

y = mx + b

where m is the rate of change and b the y-intercept

replace the values of m and b:

y = 10x + 35