Choose the Correct Graph: Which Function Passes Through (6,80)?

We want to find which function passes through the point $(6, 80)$. This means we need the function to satisfy the equation $y = 80$ when $x = 6$.

Let's evaluate the candidate functions one by one:

• Function 1: $y = 5(x + 10)$
  Substitute $x = 6$: $y = 5(6 + 10) = 5 \times 16 = 80$.
  This function gives the correct output, so it passes through the point $(6, 80)$.

• Function 2: $y = x$
  Substitute $x = 6$: $y = 6$.
  The output $6$ is not equal to $80$, so this function does not pass through $(6, 80)$.

• Function 3: $y = 2x + 3$
  Substitute $x = 6$: $y = 2(6) + 3 = 12 + 3 = 15$.
  The output $15$ is not equal to $80$, hence this function does not pass through $(6, 80)$.

• Function 4: $y = 12 - 5x$
  Substitute $x = 6$: $y = 12 - 5(6) = 12 - 30 = -18$.
  The output $-18$ is not equal to $80$, hence this function does not pass through $(6, 80)$.

After checking all options, the function $y = 5(x + 10)$ is the only one that satisfies the condition. Therefore, the correct answer is $y = 5(x + 10)$.