Question

1. use the input - output table for the function rule $y = 3x - 5$ to find the solution for $x$ in the equation $4 = 3x - 5$. answer with reasoning:

Explanation:

Step1: Recall the function rule

The function is given by \( y = 3x - 5 \). The equation to solve is \( 4 = 3x - 5 \), which means we need to find the value of \( x \) when \( y = 4 \) (since \( y = 3x - 5 \) and here \( y = 4 \)).

Step2: Use the input - output table

Looking at the input - output table, we search for the row where \( y = 4 \). In the table, when \( x = 3 \), \( y = 3\times3 - 5=9 - 5 = 4 \). So when \( y = 4 \), \( x = 3 \).

Answer:

The solution for \( x \) in the equation \( 4 = 3x - 5 \) is \( x = 3 \). This is because the function rule is \( y = 3x - 5 \), and from the input - output table, when \( y = 4 \), the corresponding value of \( x \) is 3.