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4. a proportional relationship shows hours worked (x) and money earned …

Question

  1. a proportional relationship shows hours worked (x) and money earned (y). the ordered pair (2, 24) is on the graph. (tip: create a table to help with the questions.)

a) what is the value of y when x = 1?

Explanation:

Step1: Find proportionality constant

Since \(y\) is proportional to \(x\), \(y = kx\). Substitute \(x=2, y=24\):
\(24 = k \times 2\)
Solve for \(k\): \(k = \frac{24}{2} = 12\)

Step2: Find y when x=1

Use \(y = 12x\), substitute \(x=1\):
\(y = 12 \times 1\)

Answer:

12