The equation y=21.2x represents Austin's earnings in dollars and cents, y, for working x hours. Find the rate of change.

Given:

The equation is

Where, y is earnings for working in dollars and cents and x is the number of working hours.

To find:

The rate of change.

Solution:

The slope intercept form of a linear function is

         ...(i)

Where, m is the slope and b is the y-intercept.

We have,

           ...(ii)

On comparing (i) and (ii), we get

Therefore, the rate of change is 21.2 dollar and cents per hour.

46 dollars is the answer.

step-by-step explanation:

6*6 = 36,         36+10=46