a function has an initial value of 3 and a rate of change of 4. which table matches the description of the…

Explanation:

Step1: Recall linear - function formula

The formula for a linear function is $y = mx + b$, where $m$ is the rate of change and $b$ is the initial value. Given $b = 3$ and $m = 4$, so $y=4x + 3$.

Step2: Test $x = 0$

When $x = 0$, $y=4\times0 + 3=3$.

Step3: Test $x = 1$

When $x = 1$, $y=4\times1+3 = 7$.

Step4: Test $x = 2$

When $x = 2$, $y=4\times2 + 3=11$.

Step5: Test $x = 3$

When $x = 3$, $y=4\times3+3 = 15$.

Step6: Test $x = 4$

When $x = 4$, $y=4\times4+3 = 19$.

Answer:

The table with $x = 0,1,2,3,4$ and $y = 3,7,11,15,19$