Question

The equation y=21.2x represents Austin's earnings in dollars and cents, y,

for working x hours. Find the rate of change.

Answer 1

Given:

The equation is

`y=21.2x`

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

`y=mx+b` ...(i)

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

We have,

`y=21.2x` ...(ii)

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

`m=21.2`

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