Question

As the x increases by 1, what will the rate of change for y in this equation y=-3x+10

Answer 1

Rate of change = -3

Step-by-step explanation:

Given the equation:

`y=-3x+10`

When x=1

`\begin{gathered} y=-3(1)+10 \\ =-3+10 \\ =7 \end{gathered}`

When x=2

`\begin{gathered} y=-3(2)+10 \\ =-6+10 \\ =4 \end{gathered}`

Observe that the value of y decreases by 3 as the x increases by 1.

Thus, the rate of change is -3.

Alternate Route

Another way is to express and compare the line with the slope-intercept form:

`\begin{gathered} y=mx+b \\ y=-3x+10 \end{gathered}`

The rate of change is the coefficient of x.

Coefficient of x = -3

Thus, the rate of change is -3.