Math Problem Statement

Which equation describes the pattern of the data in the table? Given table: x = [3, 4, 5, 6, 7], y = [12, 16, 20, 24, 28]. Options: A) y = 4x B) y = 4x + 12 C) y = (1/4)x D) y = (1/4)x + 12

Solution

To solve the problem, we need to determine which equation matches the pattern of the data given in the table. The table shows a relationship between the xx and yy values as follows:

[ \begin{array}{c|c} x & y \ \hline 3 & 12 \ 4 & 16 \ 5 & 20 \ 6 & 24 \ 7 & 28 \ \end{array}

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Patterns and Relationships

Formulas

y = mx + b (Slope-intercept form)
Slope (m) = Δy / Δx

Theorems

Linear Function Theorem
Slope Formula

Suitable Grade Level

Grades 6-8

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